What is the Least Common Multiple of 80458 and 80473?

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 80458 and 80473 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80458 and 80473, than apply into the LCM equation.

GCF(80458,80473) = 1
LCM(80458,80473) = ( 80458 × 80473) / 1
LCM(80458,80473) = 6474696634 / 1
LCM(80458,80473) = 6474696634

Least Common Multiple (LCM) of 80458 and 80473 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80458 and 80473. First we will calculate the prime factors of 80458 and 80473.

Prime Factorization of 80458

Prime Factorization of 80473

Now multiplying the highest exponent prime factors to calculate the LCM of 80458 and 80473.

LCM(80458,80473) = 2¹ × 7² × 821¹ × 80473¹
LCM(80458,80473) = 6474696634