What is the Least Common Multiple of 40782 and 40789?

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 40782 and 40789 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40782 and 40789, than apply into the LCM equation.

GCF(40782,40789) = 7
LCM(40782,40789) = ( 40782 × 40789) / 7
LCM(40782,40789) = 1663456998 / 7
LCM(40782,40789) = 237636714

Least Common Multiple (LCM) of 40782 and 40789 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40782 and 40789. First we will calculate the prime factors of 40782 and 40789.

Prime Factorization of 40782

Prime Factorization of 40789

Now multiplying the highest exponent prime factors to calculate the LCM of 40782 and 40789.

LCM(40782,40789) = 2¹ × 3¹ × 7¹ × 971¹ × 5827¹
LCM(40782,40789) = 237636714