What is the Least Common Multiple of 93189 and 93195?

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 93189 and 93195 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93189 and 93195, than apply into the LCM equation.

GCF(93189,93195) = 3
LCM(93189,93195) = ( 93189 × 93195) / 3
LCM(93189,93195) = 8684748855 / 3
LCM(93189,93195) = 2894916285

Least Common Multiple (LCM) of 93189 and 93195 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93189 and 93195. First we will calculate the prime factors of 93189 and 93195.

Prime Factorization of 93189

Prime Factorization of 93195

Now multiplying the highest exponent prime factors to calculate the LCM of 93189 and 93195.

LCM(93189,93195) = 3² × 31063¹ × 5¹ × 19¹ × 109¹
LCM(93189,93195) = 2894916285