What is the Least Common Multiple of 36407 and 36413?

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 36407 and 36413 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36407 and 36413, than apply into the LCM equation.

GCF(36407,36413) = 1
LCM(36407,36413) = ( 36407 × 36413) / 1
LCM(36407,36413) = 1325688091 / 1
LCM(36407,36413) = 1325688091

Least Common Multiple (LCM) of 36407 and 36413 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36407 and 36413. First we will calculate the prime factors of 36407 and 36413.

Prime Factorization of 36407

Prime Factorization of 36413

Now multiplying the highest exponent prime factors to calculate the LCM of 36407 and 36413.

LCM(36407,36413) = 7² × 743¹ × 13¹ × 2801¹
LCM(36407,36413) = 1325688091