What is the Least Common Multiple of 58996 and 59008?

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 58996 and 59008 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58996 and 59008, than apply into the LCM equation.

GCF(58996,59008) = 4
LCM(58996,59008) = ( 58996 × 59008) / 4
LCM(58996,59008) = 3481235968 / 4
LCM(58996,59008) = 870308992

Least Common Multiple (LCM) of 58996 and 59008 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58996 and 59008. First we will calculate the prime factors of 58996 and 59008.

Prime Factorization of 58996

Prime Factorization of 59008

Now multiplying the highest exponent prime factors to calculate the LCM of 58996 and 59008.

LCM(58996,59008) = 2⁷ × 7³ × 43¹ × 461¹
LCM(58996,59008) = 870308992