What is the Least Common Multiple of 56675 and 56680?

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 56675 and 56680 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56675 and 56680, than apply into the LCM equation.

GCF(56675,56680) = 5
LCM(56675,56680) = ( 56675 × 56680) / 5
LCM(56675,56680) = 3212339000 / 5
LCM(56675,56680) = 642467800

Least Common Multiple (LCM) of 56675 and 56680 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56675 and 56680. First we will calculate the prime factors of 56675 and 56680.

Prime Factorization of 56675

Prime Factorization of 56680

Now multiplying the highest exponent prime factors to calculate the LCM of 56675 and 56680.

LCM(56675,56680) = 5² × 2267¹ × 2³ × 13¹ × 109¹
LCM(56675,56680) = 642467800