What is the Least Common Multiple of 22980 and 22996?

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 22996 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 22996, than apply into the LCM equation.

GCF(22980,22996) = 4
LCM(22980,22996) = ( 22980 × 22996) / 4
LCM(22980,22996) = 528448080 / 4
LCM(22980,22996) = 132112020

Least Common Multiple (LCM) of 22980 and 22996 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22980 and 22996. First we will calculate the prime factors of 22980 and 22996.

Prime Factorization of 22980

Prime Factorization of 22996

Now multiplying the highest exponent prime factors to calculate the LCM of 22980 and 22996.

LCM(22980,22996) = 2² × 3¹ × 5¹ × 383¹ × 5749¹
LCM(22980,22996) = 132112020