What is the Least Common Multiple of 27538 and 27542?

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 27538 and 27542 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27538 and 27542, than apply into the LCM equation.

GCF(27538,27542) = 2
LCM(27538,27542) = ( 27538 × 27542) / 2
LCM(27538,27542) = 758451596 / 2
LCM(27538,27542) = 379225798

Least Common Multiple (LCM) of 27538 and 27542 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27538 and 27542. First we will calculate the prime factors of 27538 and 27542.

Prime Factorization of 27538

Prime Factorization of 27542

Now multiplying the highest exponent prime factors to calculate the LCM of 27538 and 27542.

LCM(27538,27542) = 2¹ × 7² × 281¹ × 47¹ × 293¹
LCM(27538,27542) = 379225798