What is the Least Common Multiple of 93685 and 93700?

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 93685 and 93700 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93685 and 93700, than apply into the LCM equation.

GCF(93685,93700) = 5
LCM(93685,93700) = ( 93685 × 93700) / 5
LCM(93685,93700) = 8778284500 / 5
LCM(93685,93700) = 1755656900

Least Common Multiple (LCM) of 93685 and 93700 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93685 and 93700. First we will calculate the prime factors of 93685 and 93700.

Prime Factorization of 93685

Prime Factorization of 93700

Now multiplying the highest exponent prime factors to calculate the LCM of 93685 and 93700.

LCM(93685,93700) = 5² × 41¹ × 457¹ × 2² × 937¹
LCM(93685,93700) = 1755656900