What is the Least Common Multiple of 60624 and 60628?

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 60624 and 60628 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60624 and 60628, than apply into the LCM equation.

GCF(60624,60628) = 4
LCM(60624,60628) = ( 60624 × 60628) / 4
LCM(60624,60628) = 3675511872 / 4
LCM(60624,60628) = 918877968

Least Common Multiple (LCM) of 60624 and 60628 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60624 and 60628. First we will calculate the prime factors of 60624 and 60628.

Prime Factorization of 60624

Prime Factorization of 60628

Now multiplying the highest exponent prime factors to calculate the LCM of 60624 and 60628.

LCM(60624,60628) = 2⁴ × 3² × 421¹ × 23¹ × 659¹
LCM(60624,60628) = 918877968