What is the Least Common Multiple of 83389 and 83405?

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 83389 and 83405 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83389 and 83405, than apply into the LCM equation.

GCF(83389,83405) = 1
LCM(83389,83405) = ( 83389 × 83405) / 1
LCM(83389,83405) = 6955059545 / 1
LCM(83389,83405) = 6955059545

Least Common Multiple (LCM) of 83389 and 83405 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83389 and 83405. First we will calculate the prime factors of 83389 and 83405.

Prime Factorization of 83389

Prime Factorization of 83405

Now multiplying the highest exponent prime factors to calculate the LCM of 83389 and 83405.

LCM(83389,83405) = 83389¹ × 5¹ × 7¹ × 2383¹
LCM(83389,83405) = 6955059545