What is the Least Common Multiple of 22410 and 22425?

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 22410 and 22425 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22410 and 22425, than apply into the LCM equation.

GCF(22410,22425) = 15
LCM(22410,22425) = ( 22410 × 22425) / 15
LCM(22410,22425) = 502544250 / 15
LCM(22410,22425) = 33502950

Least Common Multiple (LCM) of 22410 and 22425 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22410 and 22425. First we will calculate the prime factors of 22410 and 22425.

Prime Factorization of 22410

Prime Factorization of 22425

Now multiplying the highest exponent prime factors to calculate the LCM of 22410 and 22425.

LCM(22410,22425) = 2¹ × 3³ × 5² × 83¹ × 13¹ × 23¹
LCM(22410,22425) = 33502950