What is the Least Common Multiple of 26748 and 26752?

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 26752 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 26752, than apply into the LCM equation.

GCF(26748,26752) = 4
LCM(26748,26752) = ( 26748 × 26752) / 4
LCM(26748,26752) = 715562496 / 4
LCM(26748,26752) = 178890624

Least Common Multiple (LCM) of 26748 and 26752 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26748 and 26752. First we will calculate the prime factors of 26748 and 26752.

Prime Factorization of 26748

Prime Factorization of 26752

Now multiplying the highest exponent prime factors to calculate the LCM of 26748 and 26752.

LCM(26748,26752) = 2⁷ × 3² × 743¹ × 11¹ × 19¹
LCM(26748,26752) = 178890624