What is the Least Common Multiple of 59172 and 59177?

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 59172 and 59177 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59172 and 59177, than apply into the LCM equation.

GCF(59172,59177) = 1
LCM(59172,59177) = ( 59172 × 59177) / 1
LCM(59172,59177) = 3501621444 / 1
LCM(59172,59177) = 3501621444

Least Common Multiple (LCM) of 59172 and 59177 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59172 and 59177. First we will calculate the prime factors of 59172 and 59177.

Prime Factorization of 59172

Prime Factorization of 59177

Now multiplying the highest exponent prime factors to calculate the LCM of 59172 and 59177.

LCM(59172,59177) = 2² × 3¹ × 4931¹ × 17¹ × 59²
LCM(59172,59177) = 3501621444