What is the Least Common Multiple of 9450 and 9456?

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 9450 and 9456 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9450 and 9456, than apply into the LCM equation.

GCF(9450,9456) = 6
LCM(9450,9456) = ( 9450 × 9456) / 6
LCM(9450,9456) = 89359200 / 6
LCM(9450,9456) = 14893200

Least Common Multiple (LCM) of 9450 and 9456 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9450 and 9456. First we will calculate the prime factors of 9450 and 9456.

Prime Factorization of 9450

Prime Factorization of 9456

Now multiplying the highest exponent prime factors to calculate the LCM of 9450 and 9456.

LCM(9450,9456) = 2⁴ × 3³ × 5² × 7¹ × 197¹
LCM(9450,9456) = 14893200