What is the Least Common Multiple of 37172 and 37176?

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 37172 and 37176 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37172 and 37176, than apply into the LCM equation.

GCF(37172,37176) = 4
LCM(37172,37176) = ( 37172 × 37176) / 4
LCM(37172,37176) = 1381906272 / 4
LCM(37172,37176) = 345476568

Least Common Multiple (LCM) of 37172 and 37176 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37172 and 37176. First we will calculate the prime factors of 37172 and 37176.

Prime Factorization of 37172

Prime Factorization of 37176

Now multiplying the highest exponent prime factors to calculate the LCM of 37172 and 37176.

LCM(37172,37176) = 2³ × 9293¹ × 3¹ × 1549¹
LCM(37172,37176) = 345476568