What is the Least Common Multiple of 4458 and 4473?

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 4458 and 4473 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4458 and 4473, than apply into the LCM equation.

GCF(4458,4473) = 3
LCM(4458,4473) = ( 4458 × 4473) / 3
LCM(4458,4473) = 19940634 / 3
LCM(4458,4473) = 6646878

Least Common Multiple (LCM) of 4458 and 4473 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4458 and 4473. First we will calculate the prime factors of 4458 and 4473.

Prime Factorization of 4458

Prime Factorization of 4473

Now multiplying the highest exponent prime factors to calculate the LCM of 4458 and 4473.

LCM(4458,4473) = 2¹ × 3² × 743¹ × 7¹ × 71¹
LCM(4458,4473) = 6646878