What is the Least Common Multiple of 40791 and 40809?

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 40791 and 40809 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40791 and 40809, than apply into the LCM equation.

GCF(40791,40809) = 3
LCM(40791,40809) = ( 40791 × 40809) / 3
LCM(40791,40809) = 1664639919 / 3
LCM(40791,40809) = 554879973

Least Common Multiple (LCM) of 40791 and 40809 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40791 and 40809. First we will calculate the prime factors of 40791 and 40809.

Prime Factorization of 40791

Prime Factorization of 40809

Now multiplying the highest exponent prime factors to calculate the LCM of 40791 and 40809.

LCM(40791,40809) = 3¹ × 13597¹ × 61¹ × 223¹
LCM(40791,40809) = 554879973