What is the Least Common Multiple of 37350 and 37370?

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 37350 and 37370 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37350 and 37370, than apply into the LCM equation.

GCF(37350,37370) = 10
LCM(37350,37370) = ( 37350 × 37370) / 10
LCM(37350,37370) = 1395769500 / 10
LCM(37350,37370) = 139576950

Least Common Multiple (LCM) of 37350 and 37370 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37350 and 37370. First we will calculate the prime factors of 37350 and 37370.

Prime Factorization of 37350

Prime Factorization of 37370

Now multiplying the highest exponent prime factors to calculate the LCM of 37350 and 37370.

LCM(37350,37370) = 2¹ × 3² × 5² × 83¹ × 37¹ × 101¹
LCM(37350,37370) = 139576950