What is the Least Common Multiple of 56076 and 56082?

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 56076 and 56082 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56076 and 56082, than apply into the LCM equation.

GCF(56076,56082) = 6
LCM(56076,56082) = ( 56076 × 56082) / 6
LCM(56076,56082) = 3144854232 / 6
LCM(56076,56082) = 524142372

Least Common Multiple (LCM) of 56076 and 56082 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56076 and 56082. First we will calculate the prime factors of 56076 and 56082.

Prime Factorization of 56076

Prime Factorization of 56082

Now multiplying the highest exponent prime factors to calculate the LCM of 56076 and 56082.

LCM(56076,56082) = 2² × 3¹ × 4673¹ × 13¹ × 719¹
LCM(56076,56082) = 524142372