What is the Least Common Multiple of 51564 and 51584?

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 51564 and 51584 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51564 and 51584, than apply into the LCM equation.

GCF(51564,51584) = 4
LCM(51564,51584) = ( 51564 × 51584) / 4
LCM(51564,51584) = 2659877376 / 4
LCM(51564,51584) = 664969344

Least Common Multiple (LCM) of 51564 and 51584 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51564 and 51584. First we will calculate the prime factors of 51564 and 51584.

Prime Factorization of 51564

Prime Factorization of 51584

Now multiplying the highest exponent prime factors to calculate the LCM of 51564 and 51584.

LCM(51564,51584) = 2⁷ × 3¹ × 4297¹ × 13¹ × 31¹
LCM(51564,51584) = 664969344