What is the Least Common Multiple of 37310 and 37330?

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 37310 and 37330 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37310 and 37330, than apply into the LCM equation.

GCF(37310,37330) = 10
LCM(37310,37330) = ( 37310 × 37330) / 10
LCM(37310,37330) = 1392782300 / 10
LCM(37310,37330) = 139278230

Least Common Multiple (LCM) of 37310 and 37330 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37310 and 37330. First we will calculate the prime factors of 37310 and 37330.

Prime Factorization of 37310

Prime Factorization of 37330

Now multiplying the highest exponent prime factors to calculate the LCM of 37310 and 37330.

LCM(37310,37330) = 2¹ × 5¹ × 7¹ × 13¹ × 41¹ × 3733¹
LCM(37310,37330) = 139278230