What is the Least Common Multiple of 40494 and 40508?

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 40494 and 40508 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40494 and 40508, than apply into the LCM equation.

GCF(40494,40508) = 2
LCM(40494,40508) = ( 40494 × 40508) / 2
LCM(40494,40508) = 1640330952 / 2
LCM(40494,40508) = 820165476

Least Common Multiple (LCM) of 40494 and 40508 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40494 and 40508. First we will calculate the prime factors of 40494 and 40508.

Prime Factorization of 40494

Prime Factorization of 40508

Now multiplying the highest exponent prime factors to calculate the LCM of 40494 and 40508.

LCM(40494,40508) = 2² × 3¹ × 17¹ × 397¹ × 13¹ × 19¹ × 41¹
LCM(40494,40508) = 820165476