What is the Least Common Multiple of 22644 and 22656?

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 22644 and 22656 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22644 and 22656, than apply into the LCM equation.

GCF(22644,22656) = 12
LCM(22644,22656) = ( 22644 × 22656) / 12
LCM(22644,22656) = 513022464 / 12
LCM(22644,22656) = 42751872

Least Common Multiple (LCM) of 22644 and 22656 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22644 and 22656. First we will calculate the prime factors of 22644 and 22656.

Prime Factorization of 22644

Prime Factorization of 22656

Now multiplying the highest exponent prime factors to calculate the LCM of 22644 and 22656.

LCM(22644,22656) = 2⁷ × 3² × 17¹ × 37¹ × 59¹
LCM(22644,22656) = 42751872