What is the Least Common Multiple of 26544 and 26564?

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 26544 and 26564 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26544 and 26564, than apply into the LCM equation.

GCF(26544,26564) = 4
LCM(26544,26564) = ( 26544 × 26564) / 4
LCM(26544,26564) = 705114816 / 4
LCM(26544,26564) = 176278704

Least Common Multiple (LCM) of 26544 and 26564 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26544 and 26564. First we will calculate the prime factors of 26544 and 26564.

Prime Factorization of 26544

Prime Factorization of 26564

Now multiplying the highest exponent prime factors to calculate the LCM of 26544 and 26564.

LCM(26544,26564) = 2⁴ × 3¹ × 7¹ × 79¹ × 29¹ × 229¹
LCM(26544,26564) = 176278704