What is the Least Common Multiple of 27538 and 27550?

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 27550 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 27550, than apply into the LCM equation.

GCF(27538,27550) = 2
LCM(27538,27550) = ( 27538 × 27550) / 2
LCM(27538,27550) = 758671900 / 2
LCM(27538,27550) = 379335950

Least Common Multiple (LCM) of 27538 and 27550 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27538 and 27550. First we will calculate the prime factors of 27538 and 27550.

Prime Factorization of 27538

Prime Factorization of 27550

Now multiplying the highest exponent prime factors to calculate the LCM of 27538 and 27550.

LCM(27538,27550) = 2¹ × 7² × 281¹ × 5² × 19¹ × 29¹
LCM(27538,27550) = 379335950