What is the Least Common Multiple of 56680 and 56697?

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 56680 and 56697 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56680 and 56697, than apply into the LCM equation.

GCF(56680,56697) = 1
LCM(56680,56697) = ( 56680 × 56697) / 1
LCM(56680,56697) = 3213585960 / 1
LCM(56680,56697) = 3213585960

Least Common Multiple (LCM) of 56680 and 56697 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56680 and 56697. First we will calculate the prime factors of 56680 and 56697.

Prime Factorization of 56680

Prime Factorization of 56697

Now multiplying the highest exponent prime factors to calculate the LCM of 56680 and 56697.

LCM(56680,56697) = 2³ × 5¹ × 13¹ × 109¹ × 3¹ × 18899¹
LCM(56680,56697) = 3213585960