What is the Least Common Multiple of 8724 and 8731?

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 8724 and 8731 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8724 and 8731, than apply into the LCM equation.

GCF(8724,8731) = 1
LCM(8724,8731) = ( 8724 × 8731) / 1
LCM(8724,8731) = 76169244 / 1
LCM(8724,8731) = 76169244

Least Common Multiple (LCM) of 8724 and 8731 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8724 and 8731. First we will calculate the prime factors of 8724 and 8731.

Prime Factorization of 8724

Prime Factorization of 8731

Now multiplying the highest exponent prime factors to calculate the LCM of 8724 and 8731.

LCM(8724,8731) = 2² × 3¹ × 727¹ × 8731¹
LCM(8724,8731) = 76169244