What is the Least Common Multiple of 51597 and 51610?

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 51597 and 51610 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51597 and 51610, than apply into the LCM equation.

GCF(51597,51610) = 13
LCM(51597,51610) = ( 51597 × 51610) / 13
LCM(51597,51610) = 2662921170 / 13
LCM(51597,51610) = 204840090

Least Common Multiple (LCM) of 51597 and 51610 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51597 and 51610. First we will calculate the prime factors of 51597 and 51610.

Prime Factorization of 51597

Prime Factorization of 51610

Now multiplying the highest exponent prime factors to calculate the LCM of 51597 and 51610.

LCM(51597,51610) = 3⁴ × 7² × 13¹ × 2¹ × 5¹ × 397¹
LCM(51597,51610) = 204840090