What is the Least Common Multiple of 4470 and 4480?

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 4470 and 4480 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4470 and 4480, than apply into the LCM equation.

GCF(4470,4480) = 10
LCM(4470,4480) = ( 4470 × 4480) / 10
LCM(4470,4480) = 20025600 / 10
LCM(4470,4480) = 2002560

Least Common Multiple (LCM) of 4470 and 4480 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4470 and 4480. First we will calculate the prime factors of 4470 and 4480.

Prime Factorization of 4470

Prime Factorization of 4480

Now multiplying the highest exponent prime factors to calculate the LCM of 4470 and 4480.

LCM(4470,4480) = 2⁷ × 3¹ × 5¹ × 149¹ × 7¹
LCM(4470,4480) = 2002560