What is the Least Common Multiple of 83375 and 83386?

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 83375 and 83386 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83375 and 83386, than apply into the LCM equation.

GCF(83375,83386) = 1
LCM(83375,83386) = ( 83375 × 83386) / 1
LCM(83375,83386) = 6952307750 / 1
LCM(83375,83386) = 6952307750

Least Common Multiple (LCM) of 83375 and 83386 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83375 and 83386. First we will calculate the prime factors of 83375 and 83386.

Prime Factorization of 83375

Prime Factorization of 83386

Now multiplying the highest exponent prime factors to calculate the LCM of 83375 and 83386.

LCM(83375,83386) = 5³ × 23¹ × 29¹ × 2¹ × 173¹ × 241¹
LCM(83375,83386) = 6952307750