What is the Least Common Multiple of 36538 and 36550?

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 36538 and 36550 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36538 and 36550, than apply into the LCM equation.

GCF(36538,36550) = 2
LCM(36538,36550) = ( 36538 × 36550) / 2
LCM(36538,36550) = 1335463900 / 2
LCM(36538,36550) = 667731950

Least Common Multiple (LCM) of 36538 and 36550 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36538 and 36550. First we will calculate the prime factors of 36538 and 36550.

Prime Factorization of 36538

Prime Factorization of 36550

Now multiplying the highest exponent prime factors to calculate the LCM of 36538 and 36550.

LCM(36538,36550) = 2¹ × 18269¹ × 5² × 17¹ × 43¹
LCM(36538,36550) = 667731950