What is the Least Common Multiple of 40677 and 40684?

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 40684 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 40684, than apply into the LCM equation.

GCF(40677,40684) = 7
LCM(40677,40684) = ( 40677 × 40684) / 7
LCM(40677,40684) = 1654903068 / 7
LCM(40677,40684) = 236414724

Least Common Multiple (LCM) of 40677 and 40684 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40677 and 40684. First we will calculate the prime factors of 40677 and 40684.

Prime Factorization of 40677

Prime Factorization of 40684

Now multiplying the highest exponent prime factors to calculate the LCM of 40677 and 40684.

LCM(40677,40684) = 3¹ × 7¹ × 13¹ × 149¹ × 2² × 1453¹
LCM(40677,40684) = 236414724