What is the Least Common Multiple of 56889 and 56907?

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 56889 and 56907 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56889 and 56907, than apply into the LCM equation.

GCF(56889,56907) = 9
LCM(56889,56907) = ( 56889 × 56907) / 9
LCM(56889,56907) = 3237382323 / 9
LCM(56889,56907) = 359709147

Least Common Multiple (LCM) of 56889 and 56907 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56889 and 56907. First we will calculate the prime factors of 56889 and 56907.

Prime Factorization of 56889

Prime Factorization of 56907

Now multiplying the highest exponent prime factors to calculate the LCM of 56889 and 56907.

LCM(56889,56907) = 3³ × 7² × 43¹ × 6323¹
LCM(56889,56907) = 359709147