What is the Least Common Multiple of 40404 and 40411?

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 40404 and 40411 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40404 and 40411, than apply into the LCM equation.

GCF(40404,40411) = 7
LCM(40404,40411) = ( 40404 × 40411) / 7
LCM(40404,40411) = 1632766044 / 7
LCM(40404,40411) = 233252292

Least Common Multiple (LCM) of 40404 and 40411 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40404 and 40411. First we will calculate the prime factors of 40404 and 40411.

Prime Factorization of 40404

Prime Factorization of 40411

Now multiplying the highest exponent prime factors to calculate the LCM of 40404 and 40411.

LCM(40404,40411) = 2² × 3¹ × 7¹ × 13¹ × 37¹ × 23¹ × 251¹
LCM(40404,40411) = 233252292