# What is the Least Common Multiple of 83 and 103?

*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 83 and 103 is **8549**.

LCM(83,103) = 8549

## Least Common Multiple of 83 and 103 with GCF Formula

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

We need to calculate greatest common factor 83 and 103, than apply into the LCM equation.

GCF(83,103) = 1

LCM(83,103) = ( 83 × 103) / 1

LCM(83,103) = 8549 / 1

LCM(83,103) = 8549

## Least Common Multiple (LCM) of 83 and 103 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83 and 103. First we will calculate the **prime factors of 83 and 103**.

### Prime Factorization of 83

Prime factors of 83 are 83. Prime factorization of **83** in exponential form is:

83 = 83^{1}

### Prime Factorization of 103

Prime factors of 103 are 103. Prime factorization of **103** in exponential form is:

103 = 103^{1}

Now multiplying the highest exponent prime factors to calculate the **LCM of 83 and 103**.

LCM(83,103) = 83^{1} × 103^{1}

LCM(83,103) = 8549

#### Related Least Common Multiples of 83

#### Related Least Common Multiples of 103

- LCM of 103 and 107
- LCM of 103 and 108
- LCM of 103 and 109
- LCM of 103 and 110
- LCM of 103 and 111
- LCM of 103 and 112
- LCM of 103 and 113
- LCM of 103 and 114
- LCM of 103 and 115
- LCM of 103 and 116
- LCM of 103 and 117
- LCM of 103 and 118
- LCM of 103 and 119
- LCM of 103 and 120
- LCM of 103 and 121
- LCM of 103 and 122
- LCM of 103 and 123