What is the Least Common Multiple of 26664 and 26678?

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 26664 and 26678 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26664 and 26678, than apply into the LCM equation.

GCF(26664,26678) = 2
LCM(26664,26678) = ( 26664 × 26678) / 2
LCM(26664,26678) = 711342192 / 2
LCM(26664,26678) = 355671096

Least Common Multiple (LCM) of 26664 and 26678 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26664 and 26678. First we will calculate the prime factors of 26664 and 26678.

Prime Factorization of 26664

Prime Factorization of 26678

Now multiplying the highest exponent prime factors to calculate the LCM of 26664 and 26678.

LCM(26664,26678) = 2³ × 3¹ × 11¹ × 101¹ × 13339¹
LCM(26664,26678) = 355671096