What is the Least Common Multiple of 92805 and 92821?

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 92805 and 92821 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92805 and 92821, than apply into the LCM equation.

GCF(92805,92821) = 1
LCM(92805,92821) = ( 92805 × 92821) / 1
LCM(92805,92821) = 8614252905 / 1
LCM(92805,92821) = 8614252905

Least Common Multiple (LCM) of 92805 and 92821 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92805 and 92821. First we will calculate the prime factors of 92805 and 92821.

Prime Factorization of 92805

Prime Factorization of 92821

Now multiplying the highest exponent prime factors to calculate the LCM of 92805 and 92821.

LCM(92805,92821) = 3¹ × 5¹ × 23¹ × 269¹ × 92821¹
LCM(92805,92821) = 8614252905