What is the Least Common Multiple of 37568 and 37574?

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 37568 and 37574 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37568 and 37574, than apply into the LCM equation.

GCF(37568,37574) = 2
LCM(37568,37574) = ( 37568 × 37574) / 2
LCM(37568,37574) = 1411580032 / 2
LCM(37568,37574) = 705790016

Least Common Multiple (LCM) of 37568 and 37574 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37568 and 37574. First we will calculate the prime factors of 37568 and 37574.

Prime Factorization of 37568

Prime Factorization of 37574

Now multiplying the highest exponent prime factors to calculate the LCM of 37568 and 37574.

LCM(37568,37574) = 2⁶ × 587¹ × 18787¹
LCM(37568,37574) = 705790016