What is the Least Common Multiple of 87720 and 87728?

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 87720 and 87728 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87720 and 87728, than apply into the LCM equation.

GCF(87720,87728) = 8
LCM(87720,87728) = ( 87720 × 87728) / 8
LCM(87720,87728) = 7695500160 / 8
LCM(87720,87728) = 961937520

Least Common Multiple (LCM) of 87720 and 87728 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87720 and 87728. First we will calculate the prime factors of 87720 and 87728.

Prime Factorization of 87720

Prime Factorization of 87728

Now multiplying the highest exponent prime factors to calculate the LCM of 87720 and 87728.

LCM(87720,87728) = 2⁴ × 3¹ × 5¹ × 17¹ × 43¹ × 5483¹
LCM(87720,87728) = 961937520