What is the Least Common Multiple of 40341 and 40349?

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 40349 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 40349, than apply into the LCM equation.

GCF(40341,40349) = 1
LCM(40341,40349) = ( 40341 × 40349) / 1
LCM(40341,40349) = 1627719009 / 1
LCM(40341,40349) = 1627719009

Least Common Multiple (LCM) of 40341 and 40349 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40341 and 40349. First we will calculate the prime factors of 40341 and 40349.

Prime Factorization of 40341

Prime Factorization of 40349

Now multiplying the highest exponent prime factors to calculate the LCM of 40341 and 40349.

LCM(40341,40349) = 3¹ × 7¹ × 17¹ × 113¹ × 157¹ × 257¹
LCM(40341,40349) = 1627719009