What is the Least Common Multiple of 92805 and 92820?

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 92820 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 92820, than apply into the LCM equation.

GCF(92805,92820) = 15
LCM(92805,92820) = ( 92805 × 92820) / 15
LCM(92805,92820) = 8614160100 / 15
LCM(92805,92820) = 574277340

Least Common Multiple (LCM) of 92805 and 92820 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92805 and 92820. First we will calculate the prime factors of 92805 and 92820.

Prime Factorization of 92805

Prime Factorization of 92820

Now multiplying the highest exponent prime factors to calculate the LCM of 92805 and 92820.

LCM(92805,92820) = 3¹ × 5¹ × 23¹ × 269¹ × 2² × 7¹ × 13¹ × 17¹
LCM(92805,92820) = 574277340