What is the Least Common Multiple of 92321 and 92340?

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 92321 and 92340 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92321 and 92340, than apply into the LCM equation.

GCF(92321,92340) = 19
LCM(92321,92340) = ( 92321 × 92340) / 19
LCM(92321,92340) = 8524921140 / 19
LCM(92321,92340) = 448680060

Least Common Multiple (LCM) of 92321 and 92340 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92321 and 92340. First we will calculate the prime factors of 92321 and 92340.

Prime Factorization of 92321

Prime Factorization of 92340

Now multiplying the highest exponent prime factors to calculate the LCM of 92321 and 92340.

LCM(92321,92340) = 19¹ × 43¹ × 113¹ × 2² × 3⁵ × 5¹
LCM(92321,92340) = 448680060