What is the Least Common Multiple of 9400 and 9414?

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 9414 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 9414, than apply into the LCM equation.

GCF(9400,9414) = 2
LCM(9400,9414) = ( 9400 × 9414) / 2
LCM(9400,9414) = 88491600 / 2
LCM(9400,9414) = 44245800

Least Common Multiple (LCM) of 9400 and 9414 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9400 and 9414. First we will calculate the prime factors of 9400 and 9414.

Prime Factorization of 9400

Prime Factorization of 9414

Now multiplying the highest exponent prime factors to calculate the LCM of 9400 and 9414.

LCM(9400,9414) = 2³ × 5² × 47¹ × 3² × 523¹
LCM(9400,9414) = 44245800