What is the Least Common Multiple of 27528 and 27538?

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 27528 and 27538 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27528 and 27538, than apply into the LCM equation.

GCF(27528,27538) = 2
LCM(27528,27538) = ( 27528 × 27538) / 2
LCM(27528,27538) = 758066064 / 2
LCM(27528,27538) = 379033032

Least Common Multiple (LCM) of 27528 and 27538 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27528 and 27538. First we will calculate the prime factors of 27528 and 27538.

Prime Factorization of 27528

Prime Factorization of 27538

Now multiplying the highest exponent prime factors to calculate the LCM of 27528 and 27538.

LCM(27528,27538) = 2³ × 3¹ × 31¹ × 37¹ × 7² × 281¹
LCM(27528,27538) = 379033032