What is the Least Common Multiple of 37712 and 37731?

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 37712 and 37731 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37712 and 37731, than apply into the LCM equation.

GCF(37712,37731) = 1
LCM(37712,37731) = ( 37712 × 37731) / 1
LCM(37712,37731) = 1422911472 / 1
LCM(37712,37731) = 1422911472

Least Common Multiple (LCM) of 37712 and 37731 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37712 and 37731. First we will calculate the prime factors of 37712 and 37731.

Prime Factorization of 37712

Prime Factorization of 37731

Now multiplying the highest exponent prime factors to calculate the LCM of 37712 and 37731.

LCM(37712,37731) = 2⁴ × 2357¹ × 3¹ × 12577¹
LCM(37712,37731) = 1422911472