What is the Least Common Multiple of 2458 and 2473?

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 2458 and 2473 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2458 and 2473, than apply into the LCM equation.

GCF(2458,2473) = 1
LCM(2458,2473) = ( 2458 × 2473) / 1
LCM(2458,2473) = 6078634 / 1
LCM(2458,2473) = 6078634

Least Common Multiple (LCM) of 2458 and 2473 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2458 and 2473. First we will calculate the prime factors of 2458 and 2473.

Prime Factorization of 2458

Prime Factorization of 2473

Now multiplying the highest exponent prime factors to calculate the LCM of 2458 and 2473.

LCM(2458,2473) = 2¹ × 1229¹ × 2473¹
LCM(2458,2473) = 6078634