What is the Least Common Multiple of 22995 and 23003?

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 22995 and 23003 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22995 and 23003, than apply into the LCM equation.

GCF(22995,23003) = 1
LCM(22995,23003) = ( 22995 × 23003) / 1
LCM(22995,23003) = 528953985 / 1
LCM(22995,23003) = 528953985

Least Common Multiple (LCM) of 22995 and 23003 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22995 and 23003. First we will calculate the prime factors of 22995 and 23003.

Prime Factorization of 22995

Prime Factorization of 23003

Now multiplying the highest exponent prime factors to calculate the LCM of 22995 and 23003.

LCM(22995,23003) = 3² × 5¹ × 7¹ × 73¹ × 23003¹
LCM(22995,23003) = 528953985