What is the Least Common Multiple of 40478 and 40492?

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 40478 and 40492 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40478 and 40492, than apply into the LCM equation.

GCF(40478,40492) = 2
LCM(40478,40492) = ( 40478 × 40492) / 2
LCM(40478,40492) = 1639035176 / 2
LCM(40478,40492) = 819517588

Least Common Multiple (LCM) of 40478 and 40492 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40478 and 40492. First we will calculate the prime factors of 40478 and 40492.

Prime Factorization of 40478

Prime Factorization of 40492

Now multiplying the highest exponent prime factors to calculate the LCM of 40478 and 40492.

LCM(40478,40492) = 2² × 37¹ × 547¹ × 53¹ × 191¹
LCM(40478,40492) = 819517588