What is the Least Common Multiple of 22989 and 23001?

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 22989 and 23001 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22989 and 23001, than apply into the LCM equation.

GCF(22989,23001) = 3
LCM(22989,23001) = ( 22989 × 23001) / 3
LCM(22989,23001) = 528769989 / 3
LCM(22989,23001) = 176256663

Least Common Multiple (LCM) of 22989 and 23001 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22989 and 23001. First we will calculate the prime factors of 22989 and 23001.

Prime Factorization of 22989

Prime Factorization of 23001

Now multiplying the highest exponent prime factors to calculate the LCM of 22989 and 23001.

LCM(22989,23001) = 3¹ × 79¹ × 97¹ × 11¹ × 17¹ × 41¹
LCM(22989,23001) = 176256663