What is the Least Common Multiple of 87744 and 87750?

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 87744 and 87750 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87744 and 87750, than apply into the LCM equation.

GCF(87744,87750) = 6
LCM(87744,87750) = ( 87744 × 87750) / 6
LCM(87744,87750) = 7699536000 / 6
LCM(87744,87750) = 1283256000

Least Common Multiple (LCM) of 87744 and 87750 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87744 and 87750. First we will calculate the prime factors of 87744 and 87750.

Prime Factorization of 87744

Prime Factorization of 87750

Now multiplying the highest exponent prime factors to calculate the LCM of 87744 and 87750.

LCM(87744,87750) = 2⁶ × 3³ × 457¹ × 5³ × 13¹
LCM(87744,87750) = 1283256000