What is the Least Common Multiple of 56664 and 56684?

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 56664 and 56684 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56664 and 56684, than apply into the LCM equation.

GCF(56664,56684) = 4
LCM(56664,56684) = ( 56664 × 56684) / 4
LCM(56664,56684) = 3211942176 / 4
LCM(56664,56684) = 802985544

Least Common Multiple (LCM) of 56664 and 56684 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56664 and 56684. First we will calculate the prime factors of 56664 and 56684.

Prime Factorization of 56664

Prime Factorization of 56684

Now multiplying the highest exponent prime factors to calculate the LCM of 56664 and 56684.

LCM(56664,56684) = 2³ × 3² × 787¹ × 37¹ × 383¹
LCM(56664,56684) = 802985544