What is the Least Common Multiple of 26748 and 26764?

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 26748 and 26764 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26748 and 26764, than apply into the LCM equation.

GCF(26748,26764) = 4
LCM(26748,26764) = ( 26748 × 26764) / 4
LCM(26748,26764) = 715883472 / 4
LCM(26748,26764) = 178970868

Least Common Multiple (LCM) of 26748 and 26764 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26748 and 26764. First we will calculate the prime factors of 26748 and 26764.

Prime Factorization of 26748

Prime Factorization of 26764

Now multiplying the highest exponent prime factors to calculate the LCM of 26748 and 26764.

LCM(26748,26764) = 2² × 3² × 743¹ × 6691¹
LCM(26748,26764) = 178970868