What is the Least Common Multiple of 9565 and 9579?

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 9565 and 9579 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9565 and 9579, than apply into the LCM equation.

GCF(9565,9579) = 1
LCM(9565,9579) = ( 9565 × 9579) / 1
LCM(9565,9579) = 91623135 / 1
LCM(9565,9579) = 91623135

Least Common Multiple (LCM) of 9565 and 9579 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9565 and 9579. First we will calculate the prime factors of 9565 and 9579.

Prime Factorization of 9565

Prime Factorization of 9579

Now multiplying the highest exponent prime factors to calculate the LCM of 9565 and 9579.

LCM(9565,9579) = 5¹ × 1913¹ × 3¹ × 31¹ × 103¹
LCM(9565,9579) = 91623135