What is the Least Common Multiple of 22809 and 22821?

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 22809 and 22821 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22809 and 22821, than apply into the LCM equation.

GCF(22809,22821) = 3
LCM(22809,22821) = ( 22809 × 22821) / 3
LCM(22809,22821) = 520524189 / 3
LCM(22809,22821) = 173508063

Least Common Multiple (LCM) of 22809 and 22821 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22809 and 22821. First we will calculate the prime factors of 22809 and 22821.

Prime Factorization of 22809

Prime Factorization of 22821

Now multiplying the highest exponent prime factors to calculate the LCM of 22809 and 22821.

LCM(22809,22821) = 3¹ × 7603¹ × 7607¹
LCM(22809,22821) = 173508063