What is the Least Common Multiple of 26886 and 26901?

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 26886 and 26901 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26886 and 26901, than apply into the LCM equation.

GCF(26886,26901) = 3
LCM(26886,26901) = ( 26886 × 26901) / 3
LCM(26886,26901) = 723260286 / 3
LCM(26886,26901) = 241086762

Least Common Multiple (LCM) of 26886 and 26901 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26886 and 26901. First we will calculate the prime factors of 26886 and 26901.

Prime Factorization of 26886

Prime Factorization of 26901

Now multiplying the highest exponent prime factors to calculate the LCM of 26886 and 26901.

LCM(26886,26901) = 2¹ × 3² × 4481¹ × 7² × 61¹
LCM(26886,26901) = 241086762