What is the Least Common Multiple of 93186 and 93200?

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 93186 and 93200 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93186 and 93200, than apply into the LCM equation.

GCF(93186,93200) = 2
LCM(93186,93200) = ( 93186 × 93200) / 2
LCM(93186,93200) = 8684935200 / 2
LCM(93186,93200) = 4342467600

Least Common Multiple (LCM) of 93186 and 93200 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93186 and 93200. First we will calculate the prime factors of 93186 and 93200.

Prime Factorization of 93186

Prime Factorization of 93200

Now multiplying the highest exponent prime factors to calculate the LCM of 93186 and 93200.

LCM(93186,93200) = 2⁴ × 3² × 31¹ × 167¹ × 5² × 233¹
LCM(93186,93200) = 4342467600