What is the Least Common Multiple of 92800 and 92814?

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 92800 and 92814 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92800 and 92814, than apply into the LCM equation.

GCF(92800,92814) = 2
LCM(92800,92814) = ( 92800 × 92814) / 2
LCM(92800,92814) = 8613139200 / 2
LCM(92800,92814) = 4306569600

Least Common Multiple (LCM) of 92800 and 92814 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92800 and 92814. First we will calculate the prime factors of 92800 and 92814.

Prime Factorization of 92800

Prime Factorization of 92814

Now multiplying the highest exponent prime factors to calculate the LCM of 92800 and 92814.

LCM(92800,92814) = 2⁷ × 5² × 29¹ × 3¹ × 31¹ × 499¹
LCM(92800,92814) = 4306569600