What is the Least Common Multiple of 40341 and 40355?

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 40341 and 40355 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40341 and 40355, than apply into the LCM equation.

GCF(40341,40355) = 7
LCM(40341,40355) = ( 40341 × 40355) / 7
LCM(40341,40355) = 1627961055 / 7
LCM(40341,40355) = 232565865

Least Common Multiple (LCM) of 40341 and 40355 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40341 and 40355. First we will calculate the prime factors of 40341 and 40355.

Prime Factorization of 40341

Prime Factorization of 40355

Now multiplying the highest exponent prime factors to calculate the LCM of 40341 and 40355.

LCM(40341,40355) = 3¹ × 7¹ × 17¹ × 113¹ × 5¹ × 1153¹
LCM(40341,40355) = 232565865