What is the Least Common Multiple of 93123 and 93129?

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 93123 and 93129 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93123 and 93129, than apply into the LCM equation.

GCF(93123,93129) = 3
LCM(93123,93129) = ( 93123 × 93129) / 3
LCM(93123,93129) = 8672451867 / 3
LCM(93123,93129) = 2890817289

Least Common Multiple (LCM) of 93123 and 93129 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93123 and 93129. First we will calculate the prime factors of 93123 and 93129.

Prime Factorization of 93123

Prime Factorization of 93129

Now multiplying the highest exponent prime factors to calculate the LCM of 93123 and 93129.

LCM(93123,93129) = 3³ × 3449¹ × 37¹ × 839¹
LCM(93123,93129) = 2890817289