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What is the Least Common Multiple of 95559 and 95575?

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 95559 and 95575 is 9133051425.

LCM(95559,95575) = 9133051425

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Least Common Multiple of 95559 and 95575 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95559 and 95575, than apply into the LCM equation.

GCF(95559,95575) = 1
LCM(95559,95575) = ( 95559 × 95575) / 1
LCM(95559,95575) = 9133051425 / 1
LCM(95559,95575) = 9133051425

Least Common Multiple (LCM) of 95559 and 95575 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95559 and 95575. First we will calculate the prime factors of 95559 and 95575.

Prime Factorization of 95559

Prime factors of 95559 are 3, 53, 601. Prime factorization of 95559 in exponential form is:

95559 = 31 × 531 × 6011

Prime Factorization of 95575

Prime factors of 95575 are 5, 3823. Prime factorization of 95575 in exponential form is:

95575 = 52 × 38231

Now multiplying the highest exponent prime factors to calculate the LCM of 95559 and 95575.

LCM(95559,95575) = 31 × 531 × 6011 × 52 × 38231
LCM(95559,95575) = 9133051425