What is the Least Common Multiple of 40801 and 40807?

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 40801 and 40807 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40801 and 40807, than apply into the LCM equation.

GCF(40801,40807) = 1
LCM(40801,40807) = ( 40801 × 40807) / 1
LCM(40801,40807) = 1664966407 / 1
LCM(40801,40807) = 1664966407

Least Common Multiple (LCM) of 40801 and 40807 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40801 and 40807. First we will calculate the prime factors of 40801 and 40807.

Prime Factorization of 40801

Prime Factorization of 40807

Now multiplying the highest exponent prime factors to calculate the LCM of 40801 and 40807.

LCM(40801,40807) = 40801¹ × 13¹ × 43¹ × 73¹
LCM(40801,40807) = 1664966407