What is the Least Common Multiple of 40874 and 40884?

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 40874 and 40884 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40874 and 40884, than apply into the LCM equation.

GCF(40874,40884) = 2
LCM(40874,40884) = ( 40874 × 40884) / 2
LCM(40874,40884) = 1671092616 / 2
LCM(40874,40884) = 835546308

Least Common Multiple (LCM) of 40874 and 40884 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40874 and 40884. First we will calculate the prime factors of 40874 and 40884.

Prime Factorization of 40874

Prime Factorization of 40884

Now multiplying the highest exponent prime factors to calculate the LCM of 40874 and 40884.

LCM(40874,40884) = 2² × 107¹ × 191¹ × 3¹ × 3407¹
LCM(40874,40884) = 835546308