What is the Least Common Multiple of 92361 and 92367?

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 92361 and 92367 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92361 and 92367, than apply into the LCM equation.

GCF(92361,92367) = 3
LCM(92361,92367) = ( 92361 × 92367) / 3
LCM(92361,92367) = 8531108487 / 3
LCM(92361,92367) = 2843702829

Least Common Multiple (LCM) of 92361 and 92367 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92361 and 92367. First we will calculate the prime factors of 92361 and 92367.

Prime Factorization of 92361

Prime Factorization of 92367

Now multiplying the highest exponent prime factors to calculate the LCM of 92361 and 92367.

LCM(92361,92367) = 3³ × 17¹ × 1811¹ × 11¹ × 311¹
LCM(92361,92367) = 2843702829