What is the Least Common Multiple of 56008 and 56021?

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 56008 and 56021 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56008 and 56021, than apply into the LCM equation.

GCF(56008,56021) = 1
LCM(56008,56021) = ( 56008 × 56021) / 1
LCM(56008,56021) = 3137624168 / 1
LCM(56008,56021) = 3137624168

Least Common Multiple (LCM) of 56008 and 56021 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56008 and 56021. First we will calculate the prime factors of 56008 and 56021.

Prime Factorization of 56008

Prime Factorization of 56021

Now multiplying the highest exponent prime factors to calculate the LCM of 56008 and 56021.

LCM(56008,56021) = 2³ × 7001¹ × 7¹ × 53¹ × 151¹
LCM(56008,56021) = 3137624168