What is the Least Common Multiple of 40458 and 40464?

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 40464 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 40464, than apply into the LCM equation.

GCF(40458,40464) = 6
LCM(40458,40464) = ( 40458 × 40464) / 6
LCM(40458,40464) = 1637092512 / 6
LCM(40458,40464) = 272848752

Least Common Multiple (LCM) of 40458 and 40464 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40458 and 40464. First we will calculate the prime factors of 40458 and 40464.

Prime Factorization of 40458

Prime Factorization of 40464

Now multiplying the highest exponent prime factors to calculate the LCM of 40458 and 40464.

LCM(40458,40464) = 2⁴ × 3² × 11¹ × 613¹ × 281¹
LCM(40458,40464) = 272848752