What is the Least Common Multiple of 59152 and 59172?

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 59152 and 59172 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59152 and 59172, than apply into the LCM equation.

GCF(59152,59172) = 4
LCM(59152,59172) = ( 59152 × 59172) / 4
LCM(59152,59172) = 3500142144 / 4
LCM(59152,59172) = 875035536

Least Common Multiple (LCM) of 59152 and 59172 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59152 and 59172. First we will calculate the prime factors of 59152 and 59172.

Prime Factorization of 59152

Prime Factorization of 59172

Now multiplying the highest exponent prime factors to calculate the LCM of 59152 and 59172.

LCM(59152,59172) = 2⁴ × 3697¹ × 3¹ × 4931¹
LCM(59152,59172) = 875035536