What is the Least Common Multiple of 92782 and 92794?

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 92782 and 92794 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92782 and 92794, than apply into the LCM equation.

GCF(92782,92794) = 2
LCM(92782,92794) = ( 92782 × 92794) / 2
LCM(92782,92794) = 8609612908 / 2
LCM(92782,92794) = 4304806454

Least Common Multiple (LCM) of 92782 and 92794 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92782 and 92794. First we will calculate the prime factors of 92782 and 92794.

Prime Factorization of 92782

Prime Factorization of 92794

Now multiplying the highest exponent prime factors to calculate the LCM of 92782 and 92794.

LCM(92782,92794) = 2¹ × 23¹ × 2017¹ × 13¹ × 43¹ × 83¹
LCM(92782,92794) = 4304806454