What is the Least Common Multiple of 40812 and 40824?

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 40812 and 40824 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40812 and 40824, than apply into the LCM equation.

GCF(40812,40824) = 12
LCM(40812,40824) = ( 40812 × 40824) / 12
LCM(40812,40824) = 1666109088 / 12
LCM(40812,40824) = 138842424

Least Common Multiple (LCM) of 40812 and 40824 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40812 and 40824. First we will calculate the prime factors of 40812 and 40824.

Prime Factorization of 40812

Prime Factorization of 40824

Now multiplying the highest exponent prime factors to calculate the LCM of 40812 and 40824.

LCM(40812,40824) = 2³ × 3⁶ × 19¹ × 179¹ × 7¹
LCM(40812,40824) = 138842424