What is the Least Common Multiple of 4480 and 4499?

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 4499 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 4499, than apply into the LCM equation.

GCF(4480,4499) = 1
LCM(4480,4499) = ( 4480 × 4499) / 1
LCM(4480,4499) = 20155520 / 1
LCM(4480,4499) = 20155520

Least Common Multiple (LCM) of 4480 and 4499 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4480 and 4499. First we will calculate the prime factors of 4480 and 4499.

Prime Factorization of 4480

Prime Factorization of 4499

Now multiplying the highest exponent prime factors to calculate the LCM of 4480 and 4499.

LCM(4480,4499) = 2⁷ × 5¹ × 7¹ × 11¹ × 409¹
LCM(4480,4499) = 20155520