What is the Least Common Multiple of 9546 and 9565?

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 9546 and 9565 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9546 and 9565, than apply into the LCM equation.

GCF(9546,9565) = 1
LCM(9546,9565) = ( 9546 × 9565) / 1
LCM(9546,9565) = 91307490 / 1
LCM(9546,9565) = 91307490

Least Common Multiple (LCM) of 9546 and 9565 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9546 and 9565. First we will calculate the prime factors of 9546 and 9565.

Prime Factorization of 9546

Prime Factorization of 9565

Now multiplying the highest exponent prime factors to calculate the LCM of 9546 and 9565.

LCM(9546,9565) = 2¹ × 3¹ × 37¹ × 43¹ × 5¹ × 1913¹
LCM(9546,9565) = 91307490