What is the Least Common Multiple of 4416 and 4430?

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 4416 and 4430 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4416 and 4430, than apply into the LCM equation.

GCF(4416,4430) = 2
LCM(4416,4430) = ( 4416 × 4430) / 2
LCM(4416,4430) = 19562880 / 2
LCM(4416,4430) = 9781440

Least Common Multiple (LCM) of 4416 and 4430 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4416 and 4430. First we will calculate the prime factors of 4416 and 4430.

Prime Factorization of 4416

Prime Factorization of 4430

Now multiplying the highest exponent prime factors to calculate the LCM of 4416 and 4430.

LCM(4416,4430) = 2⁶ × 3¹ × 23¹ × 5¹ × 443¹
LCM(4416,4430) = 9781440