What is the Least Common Multiple of 87264 and 87280?

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 87264 and 87280 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87264 and 87280, than apply into the LCM equation.

GCF(87264,87280) = 16
LCM(87264,87280) = ( 87264 × 87280) / 16
LCM(87264,87280) = 7616401920 / 16
LCM(87264,87280) = 476025120

Least Common Multiple (LCM) of 87264 and 87280 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87264 and 87280. First we will calculate the prime factors of 87264 and 87280.

Prime Factorization of 87264

Prime Factorization of 87280

Now multiplying the highest exponent prime factors to calculate the LCM of 87264 and 87280.

LCM(87264,87280) = 2⁵ × 3³ × 101¹ × 5¹ × 1091¹
LCM(87264,87280) = 476025120