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What is the Least Common Multiple of 9062 and 9082?

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 9062 and 9082 is 41150542.

LCM(9062,9082) = 41150542

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Least Common Multiple of 9062 and 9082 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9062 and 9082, than apply into the LCM equation.

GCF(9062,9082) = 2
LCM(9062,9082) = ( 9062 × 9082) / 2
LCM(9062,9082) = 82301084 / 2
LCM(9062,9082) = 41150542

Least Common Multiple (LCM) of 9062 and 9082 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9062 and 9082. First we will calculate the prime factors of 9062 and 9082.

Prime Factorization of 9062

Prime factors of 9062 are 2, 23, 197. Prime factorization of 9062 in exponential form is:

9062 = 21 × 231 × 1971

Prime Factorization of 9082

Prime factors of 9082 are 2, 19, 239. Prime factorization of 9082 in exponential form is:

9082 = 21 × 191 × 2391

Now multiplying the highest exponent prime factors to calculate the LCM of 9062 and 9082.

LCM(9062,9082) = 21 × 231 × 1971 × 191 × 2391
LCM(9062,9082) = 41150542