What is the Least Common Multiple of 87296 and 87310?

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 87296 and 87310 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87296 and 87310, than apply into the LCM equation.

GCF(87296,87310) = 2
LCM(87296,87310) = ( 87296 × 87310) / 2
LCM(87296,87310) = 7621813760 / 2
LCM(87296,87310) = 3810906880

Least Common Multiple (LCM) of 87296 and 87310 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87296 and 87310. First we will calculate the prime factors of 87296 and 87310.

Prime Factorization of 87296

Prime Factorization of 87310

Now multiplying the highest exponent prime factors to calculate the LCM of 87296 and 87310.

LCM(87296,87310) = 2⁸ × 11¹ × 31¹ × 5¹ × 8731¹
LCM(87296,87310) = 3810906880