What is the Least Common Multiple of 15432 and 15446?

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 15432 and 15446 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15432 and 15446, than apply into the LCM equation.

GCF(15432,15446) = 2
LCM(15432,15446) = ( 15432 × 15446) / 2
LCM(15432,15446) = 238362672 / 2
LCM(15432,15446) = 119181336

Least Common Multiple (LCM) of 15432 and 15446 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15432 and 15446. First we will calculate the prime factors of 15432 and 15446.

Prime Factorization of 15432

Prime Factorization of 15446

Now multiplying the highest exponent prime factors to calculate the LCM of 15432 and 15446.

LCM(15432,15446) = 2³ × 3¹ × 643¹ × 7723¹
LCM(15432,15446) = 119181336