What is the Least Common Multiple of 51584 and 51597?

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 51584 and 51597 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51584 and 51597, than apply into the LCM equation.

GCF(51584,51597) = 13
LCM(51584,51597) = ( 51584 × 51597) / 13
LCM(51584,51597) = 2661579648 / 13
LCM(51584,51597) = 204736896

Least Common Multiple (LCM) of 51584 and 51597 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51584 and 51597. First we will calculate the prime factors of 51584 and 51597.

Prime Factorization of 51584

Prime Factorization of 51597

Now multiplying the highest exponent prime factors to calculate the LCM of 51584 and 51597.

LCM(51584,51597) = 2⁷ × 13¹ × 31¹ × 3⁴ × 7²
LCM(51584,51597) = 204736896