What is the Least Common Multiple of 56740 and 56755?

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 56740 and 56755 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56740 and 56755, than apply into the LCM equation.

GCF(56740,56755) = 5
LCM(56740,56755) = ( 56740 × 56755) / 5
LCM(56740,56755) = 3220278700 / 5
LCM(56740,56755) = 644055740

Least Common Multiple (LCM) of 56740 and 56755 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56740 and 56755. First we will calculate the prime factors of 56740 and 56755.

Prime Factorization of 56740

Prime Factorization of 56755

Now multiplying the highest exponent prime factors to calculate the LCM of 56740 and 56755.

LCM(56740,56755) = 2² × 5¹ × 2837¹ × 11351¹
LCM(56740,56755) = 644055740