What is the Least Common Multiple of 27508 and 27526?

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 27508 and 27526 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27508 and 27526, than apply into the LCM equation.

GCF(27508,27526) = 2
LCM(27508,27526) = ( 27508 × 27526) / 2
LCM(27508,27526) = 757185208 / 2
LCM(27508,27526) = 378592604

Least Common Multiple (LCM) of 27508 and 27526 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27508 and 27526. First we will calculate the prime factors of 27508 and 27526.

Prime Factorization of 27508

Prime Factorization of 27526

Now multiplying the highest exponent prime factors to calculate the LCM of 27508 and 27526.

LCM(27508,27526) = 2² × 13¹ × 23² × 13763¹
LCM(27508,27526) = 378592604