What is the Least Common Multiple of 59616 and 59621?

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 59621 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 59621, than apply into the LCM equation.

GCF(59616,59621) = 1
LCM(59616,59621) = ( 59616 × 59621) / 1
LCM(59616,59621) = 3554365536 / 1
LCM(59616,59621) = 3554365536

Least Common Multiple (LCM) of 59616 and 59621 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59616 and 59621. First we will calculate the prime factors of 59616 and 59621.

Prime Factorization of 59616

Prime Factorization of 59621

Now multiplying the highest exponent prime factors to calculate the LCM of 59616 and 59621.

LCM(59616,59621) = 2⁵ × 3⁴ × 23¹ × 59621¹
LCM(59616,59621) = 3554365536