What is the Least Common Multiple of 9065 and 9077?

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 9065 and 9077 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9065 and 9077, than apply into the LCM equation.

GCF(9065,9077) = 1
LCM(9065,9077) = ( 9065 × 9077) / 1
LCM(9065,9077) = 82283005 / 1
LCM(9065,9077) = 82283005

Least Common Multiple (LCM) of 9065 and 9077 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9065 and 9077. First we will calculate the prime factors of 9065 and 9077.

Prime Factorization of 9065

Prime Factorization of 9077

Now multiplying the highest exponent prime factors to calculate the LCM of 9065 and 9077.

LCM(9065,9077) = 5¹ × 7² × 37¹ × 29¹ × 313¹
LCM(9065,9077) = 82283005