What is the Least Common Multiple of 83395 and 83407?

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 83395 and 83407 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83395 and 83407, than apply into the LCM equation.

GCF(83395,83407) = 1
LCM(83395,83407) = ( 83395 × 83407) / 1
LCM(83395,83407) = 6955726765 / 1
LCM(83395,83407) = 6955726765

Least Common Multiple (LCM) of 83395 and 83407 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83395 and 83407. First we will calculate the prime factors of 83395 and 83407.

Prime Factorization of 83395

Prime Factorization of 83407

Now multiplying the highest exponent prime factors to calculate the LCM of 83395 and 83407.

LCM(83395,83407) = 5¹ × 13¹ × 1283¹ × 83407¹
LCM(83395,83407) = 6955726765