What is the Least Common Multiple of 92814 and 92829?

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 92814 and 92829 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92814 and 92829, than apply into the LCM equation.

GCF(92814,92829) = 3
LCM(92814,92829) = ( 92814 × 92829) / 3
LCM(92814,92829) = 8615830806 / 3
LCM(92814,92829) = 2871943602

Least Common Multiple (LCM) of 92814 and 92829 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92814 and 92829. First we will calculate the prime factors of 92814 and 92829.

Prime Factorization of 92814

Prime Factorization of 92829

Now multiplying the highest exponent prime factors to calculate the LCM of 92814 and 92829.

LCM(92814,92829) = 2¹ × 3¹ × 31¹ × 499¹ × 11¹ × 29¹ × 97¹
LCM(92814,92829) = 2871943602