What is the Least Common Multiple of 28296 and 28312?

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 28296 and 28312 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28296 and 28312, than apply into the LCM equation.

GCF(28296,28312) = 8
LCM(28296,28312) = ( 28296 × 28312) / 8
LCM(28296,28312) = 801116352 / 8
LCM(28296,28312) = 100139544

Least Common Multiple (LCM) of 28296 and 28312 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28296 and 28312. First we will calculate the prime factors of 28296 and 28312.

Prime Factorization of 28296

Prime Factorization of 28312

Now multiplying the highest exponent prime factors to calculate the LCM of 28296 and 28312.

LCM(28296,28312) = 2³ × 3³ × 131¹ × 3539¹
LCM(28296,28312) = 100139544