What is the Least Common Multiple of 40677 and 40686?

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 40677 and 40686 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40677 and 40686, than apply into the LCM equation.

GCF(40677,40686) = 3
LCM(40677,40686) = ( 40677 × 40686) / 3
LCM(40677,40686) = 1654984422 / 3
LCM(40677,40686) = 551661474

Least Common Multiple (LCM) of 40677 and 40686 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40677 and 40686. First we will calculate the prime factors of 40677 and 40686.

Prime Factorization of 40677

Prime Factorization of 40686

Now multiplying the highest exponent prime factors to calculate the LCM of 40677 and 40686.

LCM(40677,40686) = 3¹ × 7¹ × 13¹ × 149¹ × 2¹ × 6781¹
LCM(40677,40686) = 551661474