What is the Least Common Multiple of 83685 and 83700?

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 83685 and 83700 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83685 and 83700, than apply into the LCM equation.

GCF(83685,83700) = 15
LCM(83685,83700) = ( 83685 × 83700) / 15
LCM(83685,83700) = 7004434500 / 15
LCM(83685,83700) = 466962300

Least Common Multiple (LCM) of 83685 and 83700 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83685 and 83700. First we will calculate the prime factors of 83685 and 83700.

Prime Factorization of 83685

Prime Factorization of 83700

Now multiplying the highest exponent prime factors to calculate the LCM of 83685 and 83700.

LCM(83685,83700) = 3³ × 5² × 7¹ × 797¹ × 2² × 31¹
LCM(83685,83700) = 466962300