What is the Least Common Multiple of 59264 and 59277?

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 59264 and 59277 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59264 and 59277, than apply into the LCM equation.

GCF(59264,59277) = 1
LCM(59264,59277) = ( 59264 × 59277) / 1
LCM(59264,59277) = 3512992128 / 1
LCM(59264,59277) = 3512992128

Least Common Multiple (LCM) of 59264 and 59277 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59264 and 59277. First we will calculate the prime factors of 59264 and 59277.

Prime Factorization of 59264

Prime Factorization of 59277

Now multiplying the highest exponent prime factors to calculate the LCM of 59264 and 59277.

LCM(59264,59277) = 2⁷ × 463¹ × 3¹ × 19759¹
LCM(59264,59277) = 3512992128