What is the Least Common Multiple of 22989 and 22995?

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 22995 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 22995, than apply into the LCM equation.

GCF(22989,22995) = 3
LCM(22989,22995) = ( 22989 × 22995) / 3
LCM(22989,22995) = 528632055 / 3
LCM(22989,22995) = 176210685

Least Common Multiple (LCM) of 22989 and 22995 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22989 and 22995. First we will calculate the prime factors of 22989 and 22995.

Prime Factorization of 22989

Prime Factorization of 22995

Now multiplying the highest exponent prime factors to calculate the LCM of 22989 and 22995.

LCM(22989,22995) = 3² × 79¹ × 97¹ × 5¹ × 7¹ × 73¹
LCM(22989,22995) = 176210685