What is the Least Common Multiple of 59616 and 59629?

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 59629 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 59629, than apply into the LCM equation.

GCF(59616,59629) = 1
LCM(59616,59629) = ( 59616 × 59629) / 1
LCM(59616,59629) = 3554842464 / 1
LCM(59616,59629) = 3554842464

Least Common Multiple (LCM) of 59616 and 59629 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59616 and 59629. First we will calculate the prime factors of 59616 and 59629.

Prime Factorization of 59616

Prime Factorization of 59629

Now multiplying the highest exponent prime factors to calculate the LCM of 59616 and 59629.

LCM(59616,59629) = 2⁵ × 3⁴ × 23¹ × 59629¹
LCM(59616,59629) = 3554842464