What is the Least Common Multiple of 55751 and 55757?

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 of 55751 and 55757 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55751 and 55757, than apply into the LCM equation.

GCF(55751,55757) = 1
LCM(55751,55757) = ( 55751 × 55757) / 1
LCM(55751,55757) = 3108508507 / 1
LCM(55751,55757) = 3108508507

Least Common Multiple (LCM) of 55751 and 55757 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55751 and 55757. First we will calculate the prime factors of 55751 and 55757.

Prime Factorization of 55751

Prime Factorization of 55757

Now multiplying the highest exponent prime factors to calculate the LCM of 55751 and 55757.

LCM(55751,55757) = 197¹ × 283¹ × 13¹ × 4289¹
LCM(55751,55757) = 3108508507