What is the Least Common Multiple of 56004 and 56022?

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 56004 and 56022 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56004 and 56022, than apply into the LCM equation.

GCF(56004,56022) = 6
LCM(56004,56022) = ( 56004 × 56022) / 6
LCM(56004,56022) = 3137456088 / 6
LCM(56004,56022) = 522909348

Least Common Multiple (LCM) of 56004 and 56022 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56004 and 56022. First we will calculate the prime factors of 56004 and 56022.

Prime Factorization of 56004

Prime Factorization of 56022

Now multiplying the highest exponent prime factors to calculate the LCM of 56004 and 56022.

LCM(56004,56022) = 2² × 3¹ × 13¹ × 359¹ × 9337¹
LCM(56004,56022) = 522909348