What is the Least Common Multiple of 40824 and 40828?

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 40824 and 40828 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40824 and 40828, than apply into the LCM equation.

GCF(40824,40828) = 4
LCM(40824,40828) = ( 40824 × 40828) / 4
LCM(40824,40828) = 1666762272 / 4
LCM(40824,40828) = 416690568

Least Common Multiple (LCM) of 40824 and 40828 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40824 and 40828. First we will calculate the prime factors of 40824 and 40828.

Prime Factorization of 40824

Prime Factorization of 40828

Now multiplying the highest exponent prime factors to calculate the LCM of 40824 and 40828.

LCM(40824,40828) = 2³ × 3⁶ × 7¹ × 59¹ × 173¹
LCM(40824,40828) = 416690568