What is the Least Common Multiple of 37128 and 37144?

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 37128 and 37144 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37128 and 37144, than apply into the LCM equation.

GCF(37128,37144) = 8
LCM(37128,37144) = ( 37128 × 37144) / 8
LCM(37128,37144) = 1379082432 / 8
LCM(37128,37144) = 172385304

Least Common Multiple (LCM) of 37128 and 37144 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37128 and 37144. First we will calculate the prime factors of 37128 and 37144.

Prime Factorization of 37128

Prime Factorization of 37144

Now multiplying the highest exponent prime factors to calculate the LCM of 37128 and 37144.

LCM(37128,37144) = 2³ × 3¹ × 7¹ × 13¹ × 17¹ × 4643¹
LCM(37128,37144) = 172385304