What is the Least Common Multiple of 92565 and 92582?

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 92565 and 92582 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92565 and 92582, than apply into the LCM equation.

GCF(92565,92582) = 17
LCM(92565,92582) = ( 92565 × 92582) / 17
LCM(92565,92582) = 8569852830 / 17
LCM(92565,92582) = 504108990

Least Common Multiple (LCM) of 92565 and 92582 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92565 and 92582. First we will calculate the prime factors of 92565 and 92582.

Prime Factorization of 92565

Prime Factorization of 92582

Now multiplying the highest exponent prime factors to calculate the LCM of 92565 and 92582.

LCM(92565,92582) = 3² × 5¹ × 11² × 17¹ × 2¹ × 7¹ × 389¹
LCM(92565,92582) = 504108990