What is the Least Common Multiple of 40508 and 40526?

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 40508 and 40526 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40508 and 40526, than apply into the LCM equation.

GCF(40508,40526) = 2
LCM(40508,40526) = ( 40508 × 40526) / 2
LCM(40508,40526) = 1641627208 / 2
LCM(40508,40526) = 820813604

Least Common Multiple (LCM) of 40508 and 40526 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40508 and 40526. First we will calculate the prime factors of 40508 and 40526.

Prime Factorization of 40508

Prime Factorization of 40526

Now multiplying the highest exponent prime factors to calculate the LCM of 40508 and 40526.

LCM(40508,40526) = 2² × 13¹ × 19¹ × 41¹ × 23¹ × 881¹
LCM(40508,40526) = 820813604