GCF and LCM Calculator Logo

What is the Least Common Multiple of 24796 and 24803?

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 24796 and 24803 is 615015188.

LCM(24796,24803) = 615015188

LCM Calculator and
and

Least Common Multiple of 24796 and 24803 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24796 and 24803, than apply into the LCM equation.

GCF(24796,24803) = 1
LCM(24796,24803) = ( 24796 × 24803) / 1
LCM(24796,24803) = 615015188 / 1
LCM(24796,24803) = 615015188

Least Common Multiple (LCM) of 24796 and 24803 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24796 and 24803. First we will calculate the prime factors of 24796 and 24803.

Prime Factorization of 24796

Prime factors of 24796 are 2, 6199. Prime factorization of 24796 in exponential form is:

24796 = 22 × 61991

Prime Factorization of 24803

Prime factors of 24803 are 17, 1459. Prime factorization of 24803 in exponential form is:

24803 = 171 × 14591

Now multiplying the highest exponent prime factors to calculate the LCM of 24796 and 24803.

LCM(24796,24803) = 22 × 61991 × 171 × 14591
LCM(24796,24803) = 615015188