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What is the Least Common Multiple of 9229 and 9237?

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 9229 and 9237 is 85248273.

LCM(9229,9237) = 85248273

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Least Common Multiple of 9229 and 9237 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9229 and 9237, than apply into the LCM equation.

GCF(9229,9237) = 1
LCM(9229,9237) = ( 9229 × 9237) / 1
LCM(9229,9237) = 85248273 / 1
LCM(9229,9237) = 85248273

Least Common Multiple (LCM) of 9229 and 9237 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9229 and 9237. First we will calculate the prime factors of 9229 and 9237.

Prime Factorization of 9229

Prime factors of 9229 are 11, 839. Prime factorization of 9229 in exponential form is:

9229 = 111 × 8391

Prime Factorization of 9237

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

9237 = 31 × 30791

Now multiplying the highest exponent prime factors to calculate the LCM of 9229 and 9237.

LCM(9229,9237) = 111 × 8391 × 31 × 30791
LCM(9229,9237) = 85248273