What is the Least Common Multiple of 40785 and 40792?

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 40792 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 40792, than apply into the LCM equation.

GCF(40785,40792) = 1
LCM(40785,40792) = ( 40785 × 40792) / 1
LCM(40785,40792) = 1663701720 / 1
LCM(40785,40792) = 1663701720

Least Common Multiple (LCM) of 40785 and 40792 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40785 and 40792. First we will calculate the prime factors of 40785 and 40792.

Prime Factorization of 40785

Prime Factorization of 40792

Now multiplying the highest exponent prime factors to calculate the LCM of 40785 and 40792.

LCM(40785,40792) = 3¹ × 5¹ × 2719¹ × 2³ × 5099¹
LCM(40785,40792) = 1663701720