What is the Least Common Multiple of 93380 and 93395?

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 93380 and 93395 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93380 and 93395, than apply into the LCM equation.

GCF(93380,93395) = 5
LCM(93380,93395) = ( 93380 × 93395) / 5
LCM(93380,93395) = 8721225100 / 5
LCM(93380,93395) = 1744245020

Least Common Multiple (LCM) of 93380 and 93395 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93380 and 93395. First we will calculate the prime factors of 93380 and 93395.

Prime Factorization of 93380

Prime Factorization of 93395

Now multiplying the highest exponent prime factors to calculate the LCM of 93380 and 93395.

LCM(93380,93395) = 2² × 5¹ × 7¹ × 23¹ × 29¹ × 18679¹
LCM(93380,93395) = 1744245020