What is the Least Common Multiple of 22410 and 22427?

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 22427 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 22427, than apply into the LCM equation.

GCF(22410,22427) = 1
LCM(22410,22427) = ( 22410 × 22427) / 1
LCM(22410,22427) = 502589070 / 1
LCM(22410,22427) = 502589070

Least Common Multiple (LCM) of 22410 and 22427 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22410 and 22427. First we will calculate the prime factors of 22410 and 22427.

Prime Factorization of 22410

Prime Factorization of 22427

Now multiplying the highest exponent prime factors to calculate the LCM of 22410 and 22427.

LCM(22410,22427) = 2¹ × 3³ × 5¹ × 83¹ × 41¹ × 547¹
LCM(22410,22427) = 502589070