What is the Least Common Multiple of 26538 and 26544?

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 26538 and 26544 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26538 and 26544, than apply into the LCM equation.

GCF(26538,26544) = 6
LCM(26538,26544) = ( 26538 × 26544) / 6
LCM(26538,26544) = 704424672 / 6
LCM(26538,26544) = 117404112

Least Common Multiple (LCM) of 26538 and 26544 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26538 and 26544. First we will calculate the prime factors of 26538 and 26544.

Prime Factorization of 26538

Prime Factorization of 26544

Now multiplying the highest exponent prime factors to calculate the LCM of 26538 and 26544.

LCM(26538,26544) = 2⁴ × 3¹ × 4423¹ × 7¹ × 79¹
LCM(26538,26544) = 117404112