What is the Least Common Multiple of 28488 and 28507?

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 28488 and 28507 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28488 and 28507, than apply into the LCM equation.

GCF(28488,28507) = 1
LCM(28488,28507) = ( 28488 × 28507) / 1
LCM(28488,28507) = 812107416 / 1
LCM(28488,28507) = 812107416

Least Common Multiple (LCM) of 28488 and 28507 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28488 and 28507. First we will calculate the prime factors of 28488 and 28507.

Prime Factorization of 28488

Prime Factorization of 28507

Now multiplying the highest exponent prime factors to calculate the LCM of 28488 and 28507.

LCM(28488,28507) = 2³ × 3¹ × 1187¹ × 29¹ × 983¹
LCM(28488,28507) = 812107416