What is the Least Common Multiple of 93183 and 93199?

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 93183 and 93199 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93183 and 93199, than apply into the LCM equation.

GCF(93183,93199) = 1
LCM(93183,93199) = ( 93183 × 93199) / 1
LCM(93183,93199) = 8684562417 / 1
LCM(93183,93199) = 8684562417

Least Common Multiple (LCM) of 93183 and 93199 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93183 and 93199. First we will calculate the prime factors of 93183 and 93199.

Prime Factorization of 93183

Prime Factorization of 93199

Now multiplying the highest exponent prime factors to calculate the LCM of 93183 and 93199.

LCM(93183,93199) = 3¹ × 89¹ × 349¹ × 93199¹
LCM(93183,93199) = 8684562417