What is the Least Common Multiple of 22788 and 22792?

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 22788 and 22792 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22788 and 22792, than apply into the LCM equation.

GCF(22788,22792) = 4
LCM(22788,22792) = ( 22788 × 22792) / 4
LCM(22788,22792) = 519384096 / 4
LCM(22788,22792) = 129846024

Least Common Multiple (LCM) of 22788 and 22792 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22788 and 22792. First we will calculate the prime factors of 22788 and 22792.

Prime Factorization of 22788

Prime Factorization of 22792

Now multiplying the highest exponent prime factors to calculate the LCM of 22788 and 22792.

LCM(22788,22792) = 2³ × 3³ × 211¹ × 7¹ × 11¹ × 37¹
LCM(22788,22792) = 129846024