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What is the Least Common Multiple of 59073 and 59081?

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 59073 and 59081 is 3490091913.

LCM(59073,59081) = 3490091913

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Least Common Multiple of 59073 and 59081 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59073 and 59081, than apply into the LCM equation.

GCF(59073,59081) = 1
LCM(59073,59081) = ( 59073 × 59081) / 1
LCM(59073,59081) = 3490091913 / 1
LCM(59073,59081) = 3490091913

Least Common Multiple (LCM) of 59073 and 59081 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59073 and 59081. First we will calculate the prime factors of 59073 and 59081.

Prime Factorization of 59073

Prime factors of 59073 are 3, 7, 29, 97. Prime factorization of 59073 in exponential form is:

59073 = 31 × 71 × 291 × 971

Prime Factorization of 59081

Prime factors of 59081 are 11, 41, 131. Prime factorization of 59081 in exponential form is:

59081 = 111 × 411 × 1311

Now multiplying the highest exponent prime factors to calculate the LCM of 59073 and 59081.

LCM(59073,59081) = 31 × 71 × 291 × 971 × 111 × 411 × 1311
LCM(59073,59081) = 3490091913