What is the Least Common Multiple of 9405 and 9420?

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 9420 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 9420, than apply into the LCM equation.

GCF(9405,9420) = 15
LCM(9405,9420) = ( 9405 × 9420) / 15
LCM(9405,9420) = 88595100 / 15
LCM(9405,9420) = 5906340

Least Common Multiple (LCM) of 9405 and 9420 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9405 and 9420. First we will calculate the prime factors of 9405 and 9420.

Prime Factorization of 9405

Prime Factorization of 9420

Now multiplying the highest exponent prime factors to calculate the LCM of 9405 and 9420.

LCM(9405,9420) = 3² × 5¹ × 11¹ × 19¹ × 2² × 157¹
LCM(9405,9420) = 5906340