What is the Least Common Multiple of 37166 and 37172?

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 37166 and 37172 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37166 and 37172, than apply into the LCM equation.

GCF(37166,37172) = 2
LCM(37166,37172) = ( 37166 × 37172) / 2
LCM(37166,37172) = 1381534552 / 2
LCM(37166,37172) = 690767276

Least Common Multiple (LCM) of 37166 and 37172 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37166 and 37172. First we will calculate the prime factors of 37166 and 37172.

Prime Factorization of 37166

Prime Factorization of 37172

Now multiplying the highest exponent prime factors to calculate the LCM of 37166 and 37172.

LCM(37166,37172) = 2² × 18583¹ × 9293¹
LCM(37166,37172) = 690767276