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What is the Least Common Multiple of 95435 and 95439?

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 95435 and 95439 is 9108220965.

LCM(95435,95439) = 9108220965

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Least Common Multiple of 95435 and 95439 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95435 and 95439, than apply into the LCM equation.

GCF(95435,95439) = 1
LCM(95435,95439) = ( 95435 × 95439) / 1
LCM(95435,95439) = 9108220965 / 1
LCM(95435,95439) = 9108220965

Least Common Multiple (LCM) of 95435 and 95439 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95435 and 95439. First we will calculate the prime factors of 95435 and 95439.

Prime Factorization of 95435

Prime factors of 95435 are 5, 19087. Prime factorization of 95435 in exponential form is:

95435 = 51 × 190871

Prime Factorization of 95439

Prime factors of 95439 are 3, 29, 1097. Prime factorization of 95439 in exponential form is:

95439 = 31 × 291 × 10971

Now multiplying the highest exponent prime factors to calculate the LCM of 95435 and 95439.

LCM(95435,95439) = 51 × 190871 × 31 × 291 × 10971
LCM(95435,95439) = 9108220965