# What is the Least Common Multiple of 96 and 109?

*Least common multiple* or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 96 and 109 is **10464**.

LCM(96,109) = 10464

## Least Common Multiple of 96 and 109 with GCF Formula

The formula of **LCM** is LCM(a,b) = ( a × b) / GCF(a,b).

We need to calculate greatest common factor 96 and 109, than apply into the LCM equation.

GCF(96,109) = 1

LCM(96,109) = ( 96 × 109) / 1

LCM(96,109) = 10464 / 1

LCM(96,109) = 10464

## Least Common Multiple (LCM) of 96 and 109 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96 and 109. First we will calculate the **prime factors of 96 and 109**.

### Prime Factorization of 96

Prime factors of 96 are 2, 3. Prime factorization of **96** in exponential form is:

96 = 2^{5} × 3^{1}

### Prime Factorization of 109

Prime factors of 109 are 109. Prime factorization of **109** in exponential form is:

109 = 109^{1}

Now multiplying the highest exponent prime factors to calculate the **LCM of 96 and 109**.

LCM(96,109) = 2^{5} × 3^{1} × 109^{1}

LCM(96,109) = 10464

#### Related Least Common Multiples of 96

- LCM of 96 and 100
- LCM of 96 and 101
- LCM of 96 and 102
- LCM of 96 and 103
- LCM of 96 and 104
- LCM of 96 and 105
- LCM of 96 and 106
- LCM of 96 and 107
- LCM of 96 and 108
- LCM of 96 and 109
- LCM of 96 and 110
- LCM of 96 and 111
- LCM of 96 and 112
- LCM of 96 and 113
- LCM of 96 and 114
- LCM of 96 and 115
- LCM of 96 and 116

#### Related Least Common Multiples of 109

- LCM of 109 and 113
- LCM of 109 and 114
- LCM of 109 and 115
- LCM of 109 and 116
- LCM of 109 and 117
- LCM of 109 and 118
- LCM of 109 and 119
- LCM of 109 and 120
- LCM of 109 and 121
- LCM of 109 and 122
- LCM of 109 and 123
- LCM of 109 and 124
- LCM of 109 and 125
- LCM of 109 and 126
- LCM of 109 and 127
- LCM of 109 and 128
- LCM of 109 and 129