What is the Least Common Multiple of 59616 and 59622?

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 59616 and 59622 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59616 and 59622, than apply into the LCM equation.

GCF(59616,59622) = 6
LCM(59616,59622) = ( 59616 × 59622) / 6
LCM(59616,59622) = 3554425152 / 6
LCM(59616,59622) = 592404192

Least Common Multiple (LCM) of 59616 and 59622 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59616 and 59622. First we will calculate the prime factors of 59616 and 59622.

Prime Factorization of 59616

Prime Factorization of 59622

Now multiplying the highest exponent prime factors to calculate the LCM of 59616 and 59622.

LCM(59616,59622) = 2⁵ × 3⁴ × 23¹ × 19¹ × 523¹
LCM(59616,59622) = 592404192