What is the Least Common Multiple of 4480 and 4489?

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 4480 and 4489 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4480 and 4489, than apply into the LCM equation.

GCF(4480,4489) = 1
LCM(4480,4489) = ( 4480 × 4489) / 1
LCM(4480,4489) = 20110720 / 1
LCM(4480,4489) = 20110720

Least Common Multiple (LCM) of 4480 and 4489 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4480 and 4489. First we will calculate the prime factors of 4480 and 4489.

Prime Factorization of 4480

Prime Factorization of 4489

Now multiplying the highest exponent prime factors to calculate the LCM of 4480 and 4489.

LCM(4480,4489) = 2⁷ × 5¹ × 7¹ × 67²
LCM(4480,4489) = 20110720