What is the Least Common Multiple of 40494 and 40504?

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 40504 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 40504, than apply into the LCM equation.

GCF(40494,40504) = 2
LCM(40494,40504) = ( 40494 × 40504) / 2
LCM(40494,40504) = 1640168976 / 2
LCM(40494,40504) = 820084488

Least Common Multiple (LCM) of 40494 and 40504 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40494 and 40504. First we will calculate the prime factors of 40494 and 40504.

Prime Factorization of 40494

Prime Factorization of 40504

Now multiplying the highest exponent prime factors to calculate the LCM of 40494 and 40504.

LCM(40494,40504) = 2³ × 3¹ × 17¹ × 397¹ × 61¹ × 83¹
LCM(40494,40504) = 820084488