What is the Least Common Multiple of 4446 and 4464?

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 4446 and 4464 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4446 and 4464, than apply into the LCM equation.

GCF(4446,4464) = 18
LCM(4446,4464) = ( 4446 × 4464) / 18
LCM(4446,4464) = 19846944 / 18
LCM(4446,4464) = 1102608

Least Common Multiple (LCM) of 4446 and 4464 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4446 and 4464. First we will calculate the prime factors of 4446 and 4464.

Prime Factorization of 4446

Prime Factorization of 4464

Now multiplying the highest exponent prime factors to calculate the LCM of 4446 and 4464.

LCM(4446,4464) = 2⁴ × 3² × 13¹ × 19¹ × 31¹
LCM(4446,4464) = 1102608