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What is the Least Common Multiple of 95002 and 95012?

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 95002 and 95012 is 4513165012.

LCM(95002,95012) = 4513165012

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Least Common Multiple of 95002 and 95012 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95002 and 95012, than apply into the LCM equation.

GCF(95002,95012) = 2
LCM(95002,95012) = ( 95002 × 95012) / 2
LCM(95002,95012) = 9026330024 / 2
LCM(95002,95012) = 4513165012

Least Common Multiple (LCM) of 95002 and 95012 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95002 and 95012. First we will calculate the prime factors of 95002 and 95012.

Prime Factorization of 95002

Prime factors of 95002 are 2, 47501. Prime factorization of 95002 in exponential form is:

95002 = 21 × 475011

Prime Factorization of 95012

Prime factors of 95012 are 2, 23753. Prime factorization of 95012 in exponential form is:

95012 = 22 × 237531

Now multiplying the highest exponent prime factors to calculate the LCM of 95002 and 95012.

LCM(95002,95012) = 22 × 475011 × 237531
LCM(95002,95012) = 4513165012