What is the Least Common Multiple of 4450 and 4460?

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 4450 and 4460 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4450 and 4460, than apply into the LCM equation.

GCF(4450,4460) = 10
LCM(4450,4460) = ( 4450 × 4460) / 10
LCM(4450,4460) = 19847000 / 10
LCM(4450,4460) = 1984700

Least Common Multiple (LCM) of 4450 and 4460 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4450 and 4460. First we will calculate the prime factors of 4450 and 4460.

Prime Factorization of 4450

Prime Factorization of 4460

Now multiplying the highest exponent prime factors to calculate the LCM of 4450 and 4460.

LCM(4450,4460) = 2² × 5² × 89¹ × 223¹
LCM(4450,4460) = 1984700