What is the Least Common Multiple of 93795 and 93800?

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 93795 and 93800 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93795 and 93800, than apply into the LCM equation.

GCF(93795,93800) = 5
LCM(93795,93800) = ( 93795 × 93800) / 5
LCM(93795,93800) = 8797971000 / 5
LCM(93795,93800) = 1759594200

Least Common Multiple (LCM) of 93795 and 93800 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93795 and 93800. First we will calculate the prime factors of 93795 and 93800.

Prime Factorization of 93795

Prime Factorization of 93800

Now multiplying the highest exponent prime factors to calculate the LCM of 93795 and 93800.

LCM(93795,93800) = 3¹ × 5² × 13² × 37¹ × 2³ × 7¹ × 67¹
LCM(93795,93800) = 1759594200