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What is the Least Common Multiple of 9450 and 9459?

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 (LCM) of 9450 and 9459 is 9931950.

LCM(9450,9459) = 9931950

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Least Common Multiple of 9450 and 9459 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 9459, than apply into the LCM equation.

GCF(9450,9459) = 9
LCM(9450,9459) = ( 9450 × 9459) / 9
LCM(9450,9459) = 89387550 / 9
LCM(9450,9459) = 9931950

Least Common Multiple (LCM) of 9450 and 9459 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9450 and 9459. First we will calculate the prime factors of 9450 and 9459.

Prime Factorization of 9450

Prime factors of 9450 are 2, 3, 5, 7. Prime factorization of 9450 in exponential form is:

9450 = 21 × 33 × 52 × 71

Prime Factorization of 9459

Prime factors of 9459 are 3, 1051. Prime factorization of 9459 in exponential form is:

9459 = 32 × 10511

Now multiplying the highest exponent prime factors to calculate the LCM of 9450 and 9459.

LCM(9450,9459) = 21 × 33 × 52 × 71 × 10511
LCM(9450,9459) = 9931950