What is the Least Common Multiple of 28740 and 28749?

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 28740 and 28749 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28740 and 28749, than apply into the LCM equation.

GCF(28740,28749) = 3
LCM(28740,28749) = ( 28740 × 28749) / 3
LCM(28740,28749) = 826246260 / 3
LCM(28740,28749) = 275415420

Least Common Multiple (LCM) of 28740 and 28749 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28740 and 28749. First we will calculate the prime factors of 28740 and 28749.

Prime Factorization of 28740

Prime Factorization of 28749

Now multiplying the highest exponent prime factors to calculate the LCM of 28740 and 28749.

LCM(28740,28749) = 2² × 3¹ × 5¹ × 479¹ × 7¹ × 37²
LCM(28740,28749) = 275415420