What is the Least Common Multiple of 93261 and 93273?

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 93261 and 93273 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93261 and 93273, than apply into the LCM equation.

GCF(93261,93273) = 3
LCM(93261,93273) = ( 93261 × 93273) / 3
LCM(93261,93273) = 8698733253 / 3
LCM(93261,93273) = 2899577751

Least Common Multiple (LCM) of 93261 and 93273 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93261 and 93273. First we will calculate the prime factors of 93261 and 93273.

Prime Factorization of 93261

Prime Factorization of 93273

Now multiplying the highest exponent prime factors to calculate the LCM of 93261 and 93273.

LCM(93261,93273) = 3¹ × 7¹ × 4441¹ × 31091¹
LCM(93261,93273) = 2899577751