What is the Least Common Multiple of 28479 and 28497?

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 28479 and 28497 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28479 and 28497, than apply into the LCM equation.

GCF(28479,28497) = 3
LCM(28479,28497) = ( 28479 × 28497) / 3
LCM(28479,28497) = 811566063 / 3
LCM(28479,28497) = 270522021

Least Common Multiple (LCM) of 28479 and 28497 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28479 and 28497. First we will calculate the prime factors of 28479 and 28497.

Prime Factorization of 28479

Prime Factorization of 28497

Now multiplying the highest exponent prime factors to calculate the LCM of 28479 and 28497.

LCM(28479,28497) = 3¹ × 11¹ × 863¹ × 7¹ × 23¹ × 59¹
LCM(28479,28497) = 270522021