What is the Least Common Multiple of 10440 and 10446?

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 10440 and 10446 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10440 and 10446, than apply into the LCM equation.

GCF(10440,10446) = 6
LCM(10440,10446) = ( 10440 × 10446) / 6
LCM(10440,10446) = 109056240 / 6
LCM(10440,10446) = 18176040

Least Common Multiple (LCM) of 10440 and 10446 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10440 and 10446. First we will calculate the prime factors of 10440 and 10446.

Prime Factorization of 10440

Prime Factorization of 10446

Now multiplying the highest exponent prime factors to calculate the LCM of 10440 and 10446.

LCM(10440,10446) = 2³ × 3² × 5¹ × 29¹ × 1741¹
LCM(10440,10446) = 18176040