What is the Least Common Multiple of 40325 and 40341?

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 40325 and 40341 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40325 and 40341, than apply into the LCM equation.

GCF(40325,40341) = 1
LCM(40325,40341) = ( 40325 × 40341) / 1
LCM(40325,40341) = 1626750825 / 1
LCM(40325,40341) = 1626750825

Least Common Multiple (LCM) of 40325 and 40341 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40325 and 40341. First we will calculate the prime factors of 40325 and 40341.

Prime Factorization of 40325

Prime Factorization of 40341

Now multiplying the highest exponent prime factors to calculate the LCM of 40325 and 40341.

LCM(40325,40341) = 5² × 1613¹ × 3¹ × 7¹ × 17¹ × 113¹
LCM(40325,40341) = 1626750825