What is the Least Common Multiple of 4464 and 4481?

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 4464 and 4481 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4464 and 4481, than apply into the LCM equation.

GCF(4464,4481) = 1
LCM(4464,4481) = ( 4464 × 4481) / 1
LCM(4464,4481) = 20003184 / 1
LCM(4464,4481) = 20003184

Least Common Multiple (LCM) of 4464 and 4481 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4464 and 4481. First we will calculate the prime factors of 4464 and 4481.

Prime Factorization of 4464

Prime Factorization of 4481

Now multiplying the highest exponent prime factors to calculate the LCM of 4464 and 4481.

LCM(4464,4481) = 2⁴ × 3² × 31¹ × 4481¹
LCM(4464,4481) = 20003184