What is the Least Common Multiple of 37188 and 37207?

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 37188 and 37207 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37188 and 37207, than apply into the LCM equation.

GCF(37188,37207) = 1
LCM(37188,37207) = ( 37188 × 37207) / 1
LCM(37188,37207) = 1383653916 / 1
LCM(37188,37207) = 1383653916

Least Common Multiple (LCM) of 37188 and 37207 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37188 and 37207. First we will calculate the prime factors of 37188 and 37207.

Prime Factorization of 37188

Prime Factorization of 37207

Now multiplying the highest exponent prime factors to calculate the LCM of 37188 and 37207.

LCM(37188,37207) = 2² × 3² × 1033¹ × 29¹ × 1283¹
LCM(37188,37207) = 1383653916