What is the Least Common Multiple of 41405 and 41422?

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 41405 and 41422 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41405 and 41422, than apply into the LCM equation.

GCF(41405,41422) = 1
LCM(41405,41422) = ( 41405 × 41422) / 1
LCM(41405,41422) = 1715077910 / 1
LCM(41405,41422) = 1715077910

Least Common Multiple (LCM) of 41405 and 41422 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41405 and 41422. First we will calculate the prime factors of 41405 and 41422.

Prime Factorization of 41405

Prime Factorization of 41422

Now multiplying the highest exponent prime factors to calculate the LCM of 41405 and 41422.

LCM(41405,41422) = 5¹ × 7² × 13² × 2¹ × 139¹ × 149¹
LCM(41405,41422) = 1715077910