What is the Least Common Multiple of 22609 and 22627?

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 22609 and 22627 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22609 and 22627, than apply into the LCM equation.

GCF(22609,22627) = 1
LCM(22609,22627) = ( 22609 × 22627) / 1
LCM(22609,22627) = 511573843 / 1
LCM(22609,22627) = 511573843

Least Common Multiple (LCM) of 22609 and 22627 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22609 and 22627. First we will calculate the prime factors of 22609 and 22627.

Prime Factorization of 22609

Prime Factorization of 22627

Now multiplying the highest exponent prime factors to calculate the LCM of 22609 and 22627.

LCM(22609,22627) = 23¹ × 983¹ × 11³ × 17¹
LCM(22609,22627) = 511573843