What is the Least Common Multiple of 4712 and 4731?

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 4712 and 4731 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4712 and 4731, than apply into the LCM equation.

GCF(4712,4731) = 19
LCM(4712,4731) = ( 4712 × 4731) / 19
LCM(4712,4731) = 22292472 / 19
LCM(4712,4731) = 1173288

Least Common Multiple (LCM) of 4712 and 4731 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4712 and 4731. First we will calculate the prime factors of 4712 and 4731.

Prime Factorization of 4712

Prime Factorization of 4731

Now multiplying the highest exponent prime factors to calculate the LCM of 4712 and 4731.

LCM(4712,4731) = 2³ × 19¹ × 31¹ × 3¹ × 83¹
LCM(4712,4731) = 1173288