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What is the Least Common Multiple of 9272 and 9282?

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 9272 and 9282 is 43031352.

LCM(9272,9282) = 43031352

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Least Common Multiple of 9272 and 9282 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9272 and 9282, than apply into the LCM equation.

GCF(9272,9282) = 2
LCM(9272,9282) = ( 9272 × 9282) / 2
LCM(9272,9282) = 86062704 / 2
LCM(9272,9282) = 43031352

Least Common Multiple (LCM) of 9272 and 9282 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9272 and 9282. First we will calculate the prime factors of 9272 and 9282.

Prime Factorization of 9272

Prime factors of 9272 are 2, 19, 61. Prime factorization of 9272 in exponential form is:

9272 = 23 × 191 × 611

Prime Factorization of 9282

Prime factors of 9282 are 2, 3, 7, 13, 17. Prime factorization of 9282 in exponential form is:

9282 = 21 × 31 × 71 × 131 × 171

Now multiplying the highest exponent prime factors to calculate the LCM of 9272 and 9282.

LCM(9272,9282) = 23 × 191 × 611 × 31 × 71 × 131 × 171
LCM(9272,9282) = 43031352