What is the Least Common Multiple of 26619 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 26619 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 26619 and 26638, than apply into the LCM equation.

GCF(26619,26638) = 19
LCM(26619,26638) = ( 26619 × 26638) / 19
LCM(26619,26638) = 709076922 / 19
LCM(26619,26638) = 37319838

Least Common Multiple (LCM) of 26619 and 26638 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26619 and 26638. First we will calculate the prime factors of 26619 and 26638.

Prime Factorization of 26619

Prime Factorization of 26638

Now multiplying the highest exponent prime factors to calculate the LCM of 26619 and 26638.

LCM(26619,26638) = 3¹ × 19¹ × 467¹ × 2¹ × 701¹
LCM(26619,26638) = 37319838