What is the Least Common Multiple of 59604 and 59616?

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 59604 and 59616 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59604 and 59616, than apply into the LCM equation.

GCF(59604,59616) = 12
LCM(59604,59616) = ( 59604 × 59616) / 12
LCM(59604,59616) = 3553352064 / 12
LCM(59604,59616) = 296112672

Least Common Multiple (LCM) of 59604 and 59616 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59604 and 59616. First we will calculate the prime factors of 59604 and 59616.

Prime Factorization of 59604

Prime Factorization of 59616

Now multiplying the highest exponent prime factors to calculate the LCM of 59604 and 59616.

LCM(59604,59616) = 2⁵ × 3⁴ × 4967¹ × 23¹
LCM(59604,59616) = 296112672