What is the Least Common Multiple of 93129 and 93141?

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 93129 and 93141 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93129 and 93141, than apply into the LCM equation.

GCF(93129,93141) = 3
LCM(93129,93141) = ( 93129 × 93141) / 3
LCM(93129,93141) = 8674128189 / 3
LCM(93129,93141) = 2891376063

Least Common Multiple (LCM) of 93129 and 93141 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93129 and 93141. First we will calculate the prime factors of 93129 and 93141.

Prime Factorization of 93129

Prime Factorization of 93141

Now multiplying the highest exponent prime factors to calculate the LCM of 93129 and 93141.

LCM(93129,93141) = 3² × 37¹ × 839¹ × 79¹ × 131¹
LCM(93129,93141) = 2891376063