What is the Least Common Multiple of 26538 and 26556?

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 26556 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 26556, than apply into the LCM equation.

GCF(26538,26556) = 6
LCM(26538,26556) = ( 26538 × 26556) / 6
LCM(26538,26556) = 704743128 / 6
LCM(26538,26556) = 117457188

Least Common Multiple (LCM) of 26538 and 26556 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26538 and 26556. First we will calculate the prime factors of 26538 and 26556.

Prime Factorization of 26538

Prime Factorization of 26556

Now multiplying the highest exponent prime factors to calculate the LCM of 26538 and 26556.

LCM(26538,26556) = 2² × 3¹ × 4423¹ × 2213¹
LCM(26538,26556) = 117457188