What is the Least Common Multiple of 41405 and 41423?

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 41423 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 41423, than apply into the LCM equation.

GCF(41405,41423) = 1
LCM(41405,41423) = ( 41405 × 41423) / 1
LCM(41405,41423) = 1715119315 / 1
LCM(41405,41423) = 1715119315

Least Common Multiple (LCM) of 41405 and 41423 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41405 and 41423. First we will calculate the prime factors of 41405 and 41423.

Prime Factorization of 41405

Prime Factorization of 41423

Now multiplying the highest exponent prime factors to calculate the LCM of 41405 and 41423.

LCM(41405,41423) = 5¹ × 7² × 13² × 23¹ × 1801¹
LCM(41405,41423) = 1715119315