What is the Least Common Multiple of 4430 and 4450?

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 4430 and 4450 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4430 and 4450, than apply into the LCM equation.

GCF(4430,4450) = 10
LCM(4430,4450) = ( 4430 × 4450) / 10
LCM(4430,4450) = 19713500 / 10
LCM(4430,4450) = 1971350

Least Common Multiple (LCM) of 4430 and 4450 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4430 and 4450. First we will calculate the prime factors of 4430 and 4450.

Prime Factorization of 4430

Prime Factorization of 4450

Now multiplying the highest exponent prime factors to calculate the LCM of 4430 and 4450.

LCM(4430,4450) = 2¹ × 5² × 443¹ × 89¹
LCM(4430,4450) = 1971350