What is the Least Common Multiple of 87264 and 87282?

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 87282 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 87282, than apply into the LCM equation.

GCF(87264,87282) = 18
LCM(87264,87282) = ( 87264 × 87282) / 18
LCM(87264,87282) = 7616576448 / 18
LCM(87264,87282) = 423143136

Least Common Multiple (LCM) of 87264 and 87282 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87264 and 87282. First we will calculate the prime factors of 87264 and 87282.

Prime Factorization of 87264

Prime Factorization of 87282

Now multiplying the highest exponent prime factors to calculate the LCM of 87264 and 87282.

LCM(87264,87282) = 2⁵ × 3³ × 101¹ × 13¹ × 373¹
LCM(87264,87282) = 423143136