What is the Least Common Multiple of 51657 and 51672?

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 51657 and 51672 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51657 and 51672, than apply into the LCM equation.

GCF(51657,51672) = 3
LCM(51657,51672) = ( 51657 × 51672) / 3
LCM(51657,51672) = 2669220504 / 3
LCM(51657,51672) = 889740168

Least Common Multiple (LCM) of 51657 and 51672 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51657 and 51672. First we will calculate the prime factors of 51657 and 51672.

Prime Factorization of 51657

Prime Factorization of 51672

Now multiplying the highest exponent prime factors to calculate the LCM of 51657 and 51672.

LCM(51657,51672) = 3¹ × 67¹ × 257¹ × 2³ × 2153¹
LCM(51657,51672) = 889740168