What is the Least Common Multiple of 22980 and 22999?

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 22980 and 22999 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22980 and 22999, than apply into the LCM equation.

GCF(22980,22999) = 1
LCM(22980,22999) = ( 22980 × 22999) / 1
LCM(22980,22999) = 528517020 / 1
LCM(22980,22999) = 528517020

Least Common Multiple (LCM) of 22980 and 22999 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22980 and 22999. First we will calculate the prime factors of 22980 and 22999.

Prime Factorization of 22980

Prime Factorization of 22999

Now multiplying the highest exponent prime factors to calculate the LCM of 22980 and 22999.

LCM(22980,22999) = 2² × 3¹ × 5¹ × 383¹ × 109¹ × 211¹
LCM(22980,22999) = 528517020