What is the Least Common Multiple of 40785 and 40800?

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 40785 and 40800 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40785 and 40800, than apply into the LCM equation.

GCF(40785,40800) = 15
LCM(40785,40800) = ( 40785 × 40800) / 15
LCM(40785,40800) = 1664028000 / 15
LCM(40785,40800) = 110935200

Least Common Multiple (LCM) of 40785 and 40800 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40785 and 40800. First we will calculate the prime factors of 40785 and 40800.

Prime Factorization of 40785

Prime Factorization of 40800

Now multiplying the highest exponent prime factors to calculate the LCM of 40785 and 40800.

LCM(40785,40800) = 3¹ × 5² × 2719¹ × 2⁵ × 17¹
LCM(40785,40800) = 110935200