What is the Least Common Multiple of 40665 and 40680?

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 40680 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 40680, than apply into the LCM equation.

GCF(40665,40680) = 15
LCM(40665,40680) = ( 40665 × 40680) / 15
LCM(40665,40680) = 1654252200 / 15
LCM(40665,40680) = 110283480

Least Common Multiple (LCM) of 40665 and 40680 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40665 and 40680. First we will calculate the prime factors of 40665 and 40680.

Prime Factorization of 40665

Prime Factorization of 40680

Now multiplying the highest exponent prime factors to calculate the LCM of 40665 and 40680.

LCM(40665,40680) = 3² × 5¹ × 2711¹ × 2³ × 113¹
LCM(40665,40680) = 110283480