What is the Least Common Multiple of 92314 and 92321?

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 92314 and 92321 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92314 and 92321, than apply into the LCM equation.

GCF(92314,92321) = 1
LCM(92314,92321) = ( 92314 × 92321) / 1
LCM(92314,92321) = 8522520794 / 1
LCM(92314,92321) = 8522520794

Least Common Multiple (LCM) of 92314 and 92321 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92314 and 92321. First we will calculate the prime factors of 92314 and 92321.

Prime Factorization of 92314

Prime Factorization of 92321

Now multiplying the highest exponent prime factors to calculate the LCM of 92314 and 92321.

LCM(92314,92321) = 2¹ × 101¹ × 457¹ × 19¹ × 43¹ × 113¹
LCM(92314,92321) = 8522520794