What is the Least Common Multiple of 56750 and 56770?

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 56750 and 56770 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56750 and 56770, than apply into the LCM equation.

GCF(56750,56770) = 10
LCM(56750,56770) = ( 56750 × 56770) / 10
LCM(56750,56770) = 3221697500 / 10
LCM(56750,56770) = 322169750

Least Common Multiple (LCM) of 56750 and 56770 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56750 and 56770. First we will calculate the prime factors of 56750 and 56770.

Prime Factorization of 56750

Prime Factorization of 56770

Now multiplying the highest exponent prime factors to calculate the LCM of 56750 and 56770.

LCM(56750,56770) = 2¹ × 5³ × 227¹ × 7¹ × 811¹
LCM(56750,56770) = 322169750