What is the Least Common Multiple of 93825 and 93840?

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 93825 and 93840 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93825 and 93840, than apply into the LCM equation.

GCF(93825,93840) = 15
LCM(93825,93840) = ( 93825 × 93840) / 15
LCM(93825,93840) = 8804538000 / 15
LCM(93825,93840) = 586969200

Least Common Multiple (LCM) of 93825 and 93840 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93825 and 93840. First we will calculate the prime factors of 93825 and 93840.

Prime Factorization of 93825

Prime Factorization of 93840

Now multiplying the highest exponent prime factors to calculate the LCM of 93825 and 93840.

LCM(93825,93840) = 3³ × 5² × 139¹ × 2⁴ × 17¹ × 23¹
LCM(93825,93840) = 586969200