What is the Least Common Multiple of 26625 and 26638?

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 26625 and 26638 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26625 and 26638, than apply into the LCM equation.

GCF(26625,26638) = 1
LCM(26625,26638) = ( 26625 × 26638) / 1
LCM(26625,26638) = 709236750 / 1
LCM(26625,26638) = 709236750

Least Common Multiple (LCM) of 26625 and 26638 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26625 and 26638. First we will calculate the prime factors of 26625 and 26638.

Prime Factorization of 26625

Prime Factorization of 26638

Now multiplying the highest exponent prime factors to calculate the LCM of 26625 and 26638.

LCM(26625,26638) = 3¹ × 5³ × 71¹ × 2¹ × 19¹ × 701¹
LCM(26625,26638) = 709236750