What is the Least Common Multiple of 93273 and 93279?

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 93273 and 93279 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93273 and 93279, than apply into the LCM equation.

GCF(93273,93279) = 3
LCM(93273,93279) = ( 93273 × 93279) / 3
LCM(93273,93279) = 8700412167 / 3
LCM(93273,93279) = 2900137389

Least Common Multiple (LCM) of 93273 and 93279 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93273 and 93279. First we will calculate the prime factors of 93273 and 93279.

Prime Factorization of 93273

Prime Factorization of 93279

Now multiplying the highest exponent prime factors to calculate the LCM of 93273 and 93279.

LCM(93273,93279) = 3¹ × 31091¹ × 17¹ × 31¹ × 59¹
LCM(93273,93279) = 2900137389