What is the Least Common Multiple of 40792 and 40811?

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 40792 and 40811 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40792 and 40811, than apply into the LCM equation.

GCF(40792,40811) = 1
LCM(40792,40811) = ( 40792 × 40811) / 1
LCM(40792,40811) = 1664762312 / 1
LCM(40792,40811) = 1664762312

Least Common Multiple (LCM) of 40792 and 40811 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40792 and 40811. First we will calculate the prime factors of 40792 and 40811.

Prime Factorization of 40792

Prime Factorization of 40811

Now multiplying the highest exponent prime factors to calculate the LCM of 40792 and 40811.

LCM(40792,40811) = 2³ × 5099¹ × 37¹ × 1103¹
LCM(40792,40811) = 1664762312