# What is the Least Common Multiple of 109 and 128?

*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 109 and 128 is **13952**.

LCM(109,128) = 13952

## Least Common Multiple of 109 and 128 with GCF Formula

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

We need to calculate greatest common factor 109 and 128, than apply into the LCM equation.

GCF(109,128) = 1

LCM(109,128) = ( 109 × 128) / 1

LCM(109,128) = 13952 / 1

LCM(109,128) = 13952

## Least Common Multiple (LCM) of 109 and 128 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 109 and 128. First we will calculate the **prime factors of 109 and 128**.

### Prime Factorization of 109

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

109 = 109^{1}

### Prime Factorization of 128

Prime factors of 128 are 2. Prime factorization of **128** in exponential form is:

128 = 2^{7}

Now multiplying the highest exponent prime factors to calculate the **LCM of 109 and 128**.

LCM(109,128) = 109^{1} × 2^{7}

LCM(109,128) = 13952

#### 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

#### Related Least Common Multiples of 128

- LCM of 128 and 132
- LCM of 128 and 133
- LCM of 128 and 134
- LCM of 128 and 135
- LCM of 128 and 136
- LCM of 128 and 137
- LCM of 128 and 138
- LCM of 128 and 139
- LCM of 128 and 140
- LCM of 128 and 141
- LCM of 128 and 142
- LCM of 128 and 143
- LCM of 128 and 144
- LCM of 128 and 145
- LCM of 128 and 146
- LCM of 128 and 147
- LCM of 128 and 148