What is the Least Common Multiple of 40665 and 40678?

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 40665 and 40678 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40665 and 40678, than apply into the LCM equation.

GCF(40665,40678) = 1
LCM(40665,40678) = ( 40665 × 40678) / 1
LCM(40665,40678) = 1654170870 / 1
LCM(40665,40678) = 1654170870

Least Common Multiple (LCM) of 40665 and 40678 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40665 and 40678. First we will calculate the prime factors of 40665 and 40678.

Prime Factorization of 40665

Prime Factorization of 40678

Now multiplying the highest exponent prime factors to calculate the LCM of 40665 and 40678.

LCM(40665,40678) = 3¹ × 5¹ × 2711¹ × 2¹ × 11¹ × 43²
LCM(40665,40678) = 1654170870