What is the Least Common Multiple of 22605 and 22623?

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 22605 and 22623 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22605 and 22623, than apply into the LCM equation.

GCF(22605,22623) = 3
LCM(22605,22623) = ( 22605 × 22623) / 3
LCM(22605,22623) = 511392915 / 3
LCM(22605,22623) = 170464305

Least Common Multiple (LCM) of 22605 and 22623 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22605 and 22623. First we will calculate the prime factors of 22605 and 22623.

Prime Factorization of 22605

Prime Factorization of 22623

Now multiplying the highest exponent prime factors to calculate the LCM of 22605 and 22623.

LCM(22605,22623) = 3¹ × 5¹ × 11¹ × 137¹ × 7541¹
LCM(22605,22623) = 170464305