What is the Least Common Multiple of 4450 and 4468?

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 4468 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 4468, than apply into the LCM equation.

GCF(4450,4468) = 2
LCM(4450,4468) = ( 4450 × 4468) / 2
LCM(4450,4468) = 19882600 / 2
LCM(4450,4468) = 9941300

Least Common Multiple (LCM) of 4450 and 4468 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4450 and 4468. First we will calculate the prime factors of 4450 and 4468.

Prime Factorization of 4450

Prime Factorization of 4468

Now multiplying the highest exponent prime factors to calculate the LCM of 4450 and 4468.

LCM(4450,4468) = 2² × 5² × 89¹ × 1117¹
LCM(4450,4468) = 9941300