What is the Least Common Multiple of 83409 and 83413?

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 83409 and 83413 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83409 and 83413, than apply into the LCM equation.

GCF(83409,83413) = 1
LCM(83409,83413) = ( 83409 × 83413) / 1
LCM(83409,83413) = 6957394917 / 1
LCM(83409,83413) = 6957394917

Least Common Multiple (LCM) of 83409 and 83413 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83409 and 83413. First we will calculate the prime factors of 83409 and 83413.

Prime Factorization of 83409

Prime Factorization of 83413

Now multiplying the highest exponent prime factors to calculate the LCM of 83409 and 83413.

LCM(83409,83413) = 3¹ × 27803¹ × 11¹ × 7583¹
LCM(83409,83413) = 6957394917