What is the Least Common Multiple of 22976 and 22988?

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 22976 and 22988 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22976 and 22988, than apply into the LCM equation.

GCF(22976,22988) = 4
LCM(22976,22988) = ( 22976 × 22988) / 4
LCM(22976,22988) = 528172288 / 4
LCM(22976,22988) = 132043072

Least Common Multiple (LCM) of 22976 and 22988 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22976 and 22988. First we will calculate the prime factors of 22976 and 22988.

Prime Factorization of 22976

Prime Factorization of 22988

Now multiplying the highest exponent prime factors to calculate the LCM of 22976 and 22988.

LCM(22976,22988) = 2⁶ × 359¹ × 7¹ × 821¹
LCM(22976,22988) = 132043072