What is the Least Common Multiple of 59624 and 59638?

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 59624 and 59638 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59624 and 59638, than apply into the LCM equation.

GCF(59624,59638) = 2
LCM(59624,59638) = ( 59624 × 59638) / 2
LCM(59624,59638) = 3555856112 / 2
LCM(59624,59638) = 1777928056

Least Common Multiple (LCM) of 59624 and 59638 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59624 and 59638. First we will calculate the prime factors of 59624 and 59638.

Prime Factorization of 59624

Prime Factorization of 59638

Now multiplying the highest exponent prime factors to calculate the LCM of 59624 and 59638.

LCM(59624,59638) = 2³ × 29¹ × 257¹ × 29819¹
LCM(59624,59638) = 1777928056