What is the Least Common Multiple of 87712 and 87724?

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 87712 and 87724 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87712 and 87724, than apply into the LCM equation.

GCF(87712,87724) = 4
LCM(87712,87724) = ( 87712 × 87724) / 4
LCM(87712,87724) = 7694447488 / 4
LCM(87712,87724) = 1923611872

Least Common Multiple (LCM) of 87712 and 87724 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87712 and 87724. First we will calculate the prime factors of 87712 and 87724.

Prime Factorization of 87712

Prime Factorization of 87724

Now multiplying the highest exponent prime factors to calculate the LCM of 87712 and 87724.

LCM(87712,87724) = 2⁵ × 2741¹ × 7¹ × 13¹ × 241¹
LCM(87712,87724) = 1923611872