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What is the Least Common Multiple of 9237 and 9255?

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 9237 and 9255 is 28496145.

LCM(9237,9255) = 28496145

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Least Common Multiple of 9237 and 9255 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9237 and 9255, than apply into the LCM equation.

GCF(9237,9255) = 3
LCM(9237,9255) = ( 9237 × 9255) / 3
LCM(9237,9255) = 85488435 / 3
LCM(9237,9255) = 28496145

Least Common Multiple (LCM) of 9237 and 9255 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9237 and 9255. First we will calculate the prime factors of 9237 and 9255.

Prime Factorization of 9237

Prime factors of 9237 are 3, 3079. Prime factorization of 9237 in exponential form is:

9237 = 31 × 30791

Prime Factorization of 9255

Prime factors of 9255 are 3, 5, 617. Prime factorization of 9255 in exponential form is:

9255 = 31 × 51 × 6171

Now multiplying the highest exponent prime factors to calculate the LCM of 9237 and 9255.

LCM(9237,9255) = 31 × 30791 × 51 × 6171
LCM(9237,9255) = 28496145