What is the Least Common Multiple of 57756 and 57765?

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 57756 and 57765 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57756 and 57765, than apply into the LCM equation.

GCF(57756,57765) = 3
LCM(57756,57765) = ( 57756 × 57765) / 3
LCM(57756,57765) = 3336275340 / 3
LCM(57756,57765) = 1112091780

Least Common Multiple (LCM) of 57756 and 57765 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57756 and 57765. First we will calculate the prime factors of 57756 and 57765.

Prime Factorization of 57756

Prime Factorization of 57765

Now multiplying the highest exponent prime factors to calculate the LCM of 57756 and 57765.

LCM(57756,57765) = 2² × 3¹ × 4813¹ × 5¹ × 3851¹
LCM(57756,57765) = 1112091780