What is the Least Common Multiple of 9405 and 9424?

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 9405 and 9424 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9405 and 9424, than apply into the LCM equation.

GCF(9405,9424) = 19
LCM(9405,9424) = ( 9405 × 9424) / 19
LCM(9405,9424) = 88632720 / 19
LCM(9405,9424) = 4664880

Least Common Multiple (LCM) of 9405 and 9424 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9405 and 9424. First we will calculate the prime factors of 9405 and 9424.

Prime Factorization of 9405

Prime Factorization of 9424

Now multiplying the highest exponent prime factors to calculate the LCM of 9405 and 9424.

LCM(9405,9424) = 3² × 5¹ × 11¹ × 19¹ × 2⁴ × 31¹
LCM(9405,9424) = 4664880