What is the Least Common Multiple of 56550 and 56570?

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 56550 and 56570 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56550 and 56570, than apply into the LCM equation.

GCF(56550,56570) = 10
LCM(56550,56570) = ( 56550 × 56570) / 10
LCM(56550,56570) = 3199033500 / 10
LCM(56550,56570) = 319903350

Least Common Multiple (LCM) of 56550 and 56570 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56550 and 56570. First we will calculate the prime factors of 56550 and 56570.

Prime Factorization of 56550

Prime Factorization of 56570

Now multiplying the highest exponent prime factors to calculate the LCM of 56550 and 56570.

LCM(56550,56570) = 2¹ × 3¹ × 5² × 13¹ × 29¹ × 5657¹
LCM(56550,56570) = 319903350