What is the Least Common Multiple of 92809 and 92824?

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 92809 and 92824 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92809 and 92824, than apply into the LCM equation.

GCF(92809,92824) = 1
LCM(92809,92824) = ( 92809 × 92824) / 1
LCM(92809,92824) = 8614902616 / 1
LCM(92809,92824) = 8614902616

Least Common Multiple (LCM) of 92809 and 92824 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92809 and 92824. First we will calculate the prime factors of 92809 and 92824.

Prime Factorization of 92809

Prime Factorization of 92824

Now multiplying the highest exponent prime factors to calculate the LCM of 92809 and 92824.

LCM(92809,92824) = 92809¹ × 2³ × 41¹ × 283¹
LCM(92809,92824) = 8614902616