What is the Least Common Multiple of 56670 and 56685?

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 56670 and 56685 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56670 and 56685, than apply into the LCM equation.

GCF(56670,56685) = 15
LCM(56670,56685) = ( 56670 × 56685) / 15
LCM(56670,56685) = 3212338950 / 15
LCM(56670,56685) = 214155930

Least Common Multiple (LCM) of 56670 and 56685 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56670 and 56685. First we will calculate the prime factors of 56670 and 56685.

Prime Factorization of 56670

Prime Factorization of 56685

Now multiplying the highest exponent prime factors to calculate the LCM of 56670 and 56685.

LCM(56670,56685) = 2¹ × 3¹ × 5¹ × 1889¹ × 3779¹
LCM(56670,56685) = 214155930