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What is the Least Common Multiple of 95302 and 95313?

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 95302 and 95313 is 9083519526.

LCM(95302,95313) = 9083519526

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Least Common Multiple of 95302 and 95313 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95302 and 95313, than apply into the LCM equation.

GCF(95302,95313) = 1
LCM(95302,95313) = ( 95302 × 95313) / 1
LCM(95302,95313) = 9083519526 / 1
LCM(95302,95313) = 9083519526

Least Common Multiple (LCM) of 95302 and 95313 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95302 and 95313. First we will calculate the prime factors of 95302 and 95313.

Prime Factorization of 95302

Prime factors of 95302 are 2, 17, 2803. Prime factorization of 95302 in exponential form is:

95302 = 21 × 171 × 28031

Prime Factorization of 95313

Prime factors of 95313 are 3, 31771. Prime factorization of 95313 in exponential form is:

95313 = 31 × 317711

Now multiplying the highest exponent prime factors to calculate the LCM of 95302 and 95313.

LCM(95302,95313) = 21 × 171 × 28031 × 31 × 317711
LCM(95302,95313) = 9083519526