What is the Least Common Multiple of 83390 and 83395?

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 83390 and 83395 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83390 and 83395, than apply into the LCM equation.

GCF(83390,83395) = 5
LCM(83390,83395) = ( 83390 × 83395) / 5
LCM(83390,83395) = 6954309050 / 5
LCM(83390,83395) = 1390861810

Least Common Multiple (LCM) of 83390 and 83395 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83390 and 83395. First we will calculate the prime factors of 83390 and 83395.

Prime Factorization of 83390

Prime Factorization of 83395

Now multiplying the highest exponent prime factors to calculate the LCM of 83390 and 83395.

LCM(83390,83395) = 2¹ × 5¹ × 31¹ × 269¹ × 13¹ × 1283¹
LCM(83390,83395) = 1390861810