What is the Least Common Multiple of 9400 and 9405?

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 9400 and 9405 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9400 and 9405, than apply into the LCM equation.

GCF(9400,9405) = 5
LCM(9400,9405) = ( 9400 × 9405) / 5
LCM(9400,9405) = 88407000 / 5
LCM(9400,9405) = 17681400

Least Common Multiple (LCM) of 9400 and 9405 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9400 and 9405. First we will calculate the prime factors of 9400 and 9405.

Prime Factorization of 9400

Prime Factorization of 9405

Now multiplying the highest exponent prime factors to calculate the LCM of 9400 and 9405.

LCM(9400,9405) = 2³ × 5² × 47¹ × 3² × 11¹ × 19¹
LCM(9400,9405) = 17681400