What is the Least Common Multiple of 73172 and 73177?

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 73172 and 73177 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73172 and 73177, than apply into the LCM equation.

GCF(73172,73177) = 1
LCM(73172,73177) = ( 73172 × 73177) / 1
LCM(73172,73177) = 5354507444 / 1
LCM(73172,73177) = 5354507444

Least Common Multiple (LCM) of 73172 and 73177 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73172 and 73177. First we will calculate the prime factors of 73172 and 73177.

Prime Factorization of 73172

Prime Factorization of 73177

Now multiplying the highest exponent prime factors to calculate the LCM of 73172 and 73177.

LCM(73172,73177) = 2² × 11¹ × 1663¹ × 13² × 433¹
LCM(73172,73177) = 5354507444