What is the Least Common Multiple of 87728 and 87748?

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 87728 and 87748 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87728 and 87748, than apply into the LCM equation.

GCF(87728,87748) = 4
LCM(87728,87748) = ( 87728 × 87748) / 4
LCM(87728,87748) = 7697956544 / 4
LCM(87728,87748) = 1924489136

Least Common Multiple (LCM) of 87728 and 87748 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87728 and 87748. First we will calculate the prime factors of 87728 and 87748.

Prime Factorization of 87728

Prime Factorization of 87748

Now multiplying the highest exponent prime factors to calculate the LCM of 87728 and 87748.

LCM(87728,87748) = 2⁴ × 5483¹ × 21937¹
LCM(87728,87748) = 1924489136