What is the Least Common Multiple of 22432 and 22446?

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 22432 and 22446 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22432 and 22446, than apply into the LCM equation.

GCF(22432,22446) = 2
LCM(22432,22446) = ( 22432 × 22446) / 2
LCM(22432,22446) = 503508672 / 2
LCM(22432,22446) = 251754336

Least Common Multiple (LCM) of 22432 and 22446 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22432 and 22446. First we will calculate the prime factors of 22432 and 22446.

Prime Factorization of 22432

Prime Factorization of 22446

Now multiplying the highest exponent prime factors to calculate the LCM of 22432 and 22446.

LCM(22432,22446) = 2⁵ × 701¹ × 3² × 29¹ × 43¹
LCM(22432,22446) = 251754336