What is the Least Common Multiple of 36712 and 36731?

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 36712 and 36731 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36712 and 36731, than apply into the LCM equation.

GCF(36712,36731) = 1
LCM(36712,36731) = ( 36712 × 36731) / 1
LCM(36712,36731) = 1348468472 / 1
LCM(36712,36731) = 1348468472

Least Common Multiple (LCM) of 36712 and 36731 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36712 and 36731. First we will calculate the prime factors of 36712 and 36731.

Prime Factorization of 36712

Prime Factorization of 36731

Now multiplying the highest exponent prime factors to calculate the LCM of 36712 and 36731.

LCM(36712,36731) = 2³ × 13¹ × 353¹ × 23¹ × 1597¹
LCM(36712,36731) = 1348468472