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What is the Least Common Multiple of 9061 and 9073?

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 9061 and 9073 is 82210453.

LCM(9061,9073) = 82210453

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Least Common Multiple of 9061 and 9073 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9061 and 9073, than apply into the LCM equation.

GCF(9061,9073) = 1
LCM(9061,9073) = ( 9061 × 9073) / 1
LCM(9061,9073) = 82210453 / 1
LCM(9061,9073) = 82210453

Least Common Multiple (LCM) of 9061 and 9073 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9061 and 9073. First we will calculate the prime factors of 9061 and 9073.

Prime Factorization of 9061

Prime factors of 9061 are 13, 17, 41. Prime factorization of 9061 in exponential form is:

9061 = 131 × 171 × 411

Prime Factorization of 9073

Prime factors of 9073 are 43, 211. Prime factorization of 9073 in exponential form is:

9073 = 431 × 2111

Now multiplying the highest exponent prime factors to calculate the LCM of 9061 and 9073.

LCM(9061,9073) = 131 × 171 × 411 × 431 × 2111
LCM(9061,9073) = 82210453