What is the Least Common Multiple of 9396 and 9400?

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 9396 and 9400 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9396 and 9400, than apply into the LCM equation.

GCF(9396,9400) = 4
LCM(9396,9400) = ( 9396 × 9400) / 4
LCM(9396,9400) = 88322400 / 4
LCM(9396,9400) = 22080600

Least Common Multiple (LCM) of 9396 and 9400 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9396 and 9400. First we will calculate the prime factors of 9396 and 9400.

Prime Factorization of 9396

Prime Factorization of 9400

Now multiplying the highest exponent prime factors to calculate the LCM of 9396 and 9400.

LCM(9396,9400) = 2³ × 3⁴ × 29¹ × 5² × 47¹
LCM(9396,9400) = 22080600