What is the Least Common Multiple of 40458 and 40478?

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 40458 and 40478 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40458 and 40478, than apply into the LCM equation.

GCF(40458,40478) = 2
LCM(40458,40478) = ( 40458 × 40478) / 2
LCM(40458,40478) = 1637658924 / 2
LCM(40458,40478) = 818829462

Least Common Multiple (LCM) of 40458 and 40478 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40458 and 40478. First we will calculate the prime factors of 40458 and 40478.

Prime Factorization of 40458

Prime Factorization of 40478

Now multiplying the highest exponent prime factors to calculate the LCM of 40458 and 40478.

LCM(40458,40478) = 2¹ × 3¹ × 11¹ × 613¹ × 37¹ × 547¹
LCM(40458,40478) = 818829462