What is the Least Common Multiple of 87264 and 87279?

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 87279 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 87279, than apply into the LCM equation.

GCF(87264,87279) = 3
LCM(87264,87279) = ( 87264 × 87279) / 3
LCM(87264,87279) = 7616314656 / 3
LCM(87264,87279) = 2538771552

Least Common Multiple (LCM) of 87264 and 87279 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87264 and 87279. First we will calculate the prime factors of 87264 and 87279.

Prime Factorization of 87264

Prime Factorization of 87279

Now multiplying the highest exponent prime factors to calculate the LCM of 87264 and 87279.

LCM(87264,87279) = 2⁵ × 3³ × 101¹ × 47¹ × 619¹
LCM(87264,87279) = 2538771552