What is the Least Common Multiple of 9435 and 9450?

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 9435 and 9450 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9435 and 9450, than apply into the LCM equation.

GCF(9435,9450) = 15
LCM(9435,9450) = ( 9435 × 9450) / 15
LCM(9435,9450) = 89160750 / 15
LCM(9435,9450) = 5944050

Least Common Multiple (LCM) of 9435 and 9450 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9435 and 9450. First we will calculate the prime factors of 9435 and 9450.

Prime Factorization of 9435

Prime Factorization of 9450

Now multiplying the highest exponent prime factors to calculate the LCM of 9435 and 9450.

LCM(9435,9450) = 3³ × 5² × 17¹ × 37¹ × 2¹ × 7¹
LCM(9435,9450) = 5944050