What is the Least Common Multiple of 22538 and 22550?

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 22538 and 22550 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22538 and 22550, than apply into the LCM equation.

GCF(22538,22550) = 2
LCM(22538,22550) = ( 22538 × 22550) / 2
LCM(22538,22550) = 508231900 / 2
LCM(22538,22550) = 254115950

Least Common Multiple (LCM) of 22538 and 22550 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22538 and 22550. First we will calculate the prime factors of 22538 and 22550.

Prime Factorization of 22538

Prime Factorization of 22550

Now multiplying the highest exponent prime factors to calculate the LCM of 22538 and 22550.

LCM(22538,22550) = 2¹ × 59¹ × 191¹ × 5² × 11¹ × 41¹
LCM(22538,22550) = 254115950