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What is the Least Common Multiple of 9272 and 9290?

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 9290 is 43068440.

LCM(9272,9290) = 43068440

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Least Common Multiple of 9272 and 9290 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 9290, than apply into the LCM equation.

GCF(9272,9290) = 2
LCM(9272,9290) = ( 9272 × 9290) / 2
LCM(9272,9290) = 86136880 / 2
LCM(9272,9290) = 43068440

Least Common Multiple (LCM) of 9272 and 9290 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9272 and 9290. First we will calculate the prime factors of 9272 and 9290.

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 9290

Prime factors of 9290 are 2, 5, 929. Prime factorization of 9290 in exponential form is:

9290 = 21 × 51 × 9291

Now multiplying the highest exponent prime factors to calculate the LCM of 9272 and 9290.

LCM(9272,9290) = 23 × 191 × 611 × 51 × 9291
LCM(9272,9290) = 43068440