What is the Least Common Multiple of 92834 and 92851?

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 92834 and 92851 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92834 and 92851, than apply into the LCM equation.

GCF(92834,92851) = 1
LCM(92834,92851) = ( 92834 × 92851) / 1
LCM(92834,92851) = 8619729734 / 1
LCM(92834,92851) = 8619729734

Least Common Multiple (LCM) of 92834 and 92851 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92834 and 92851. First we will calculate the prime factors of 92834 and 92851.

Prime Factorization of 92834

Prime Factorization of 92851

Now multiplying the highest exponent prime factors to calculate the LCM of 92834 and 92851.

LCM(92834,92851) = 2¹ × 7¹ × 19¹ × 349¹ × 11¹ × 23¹ × 367¹
LCM(92834,92851) = 8619729734