What is the Least Common Multiple of 68175 and 68193?

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 68175 and 68193 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68175 and 68193, than apply into the LCM equation.

GCF(68175,68193) = 9
LCM(68175,68193) = ( 68175 × 68193) / 9
LCM(68175,68193) = 4649057775 / 9
LCM(68175,68193) = 516561975

Least Common Multiple (LCM) of 68175 and 68193 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68175 and 68193. First we will calculate the prime factors of 68175 and 68193.

Prime Factorization of 68175

Prime Factorization of 68193

Now multiplying the highest exponent prime factors to calculate the LCM of 68175 and 68193.

LCM(68175,68193) = 3³ × 5² × 101¹ × 7577¹
LCM(68175,68193) = 516561975