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What is the Least Common Multiple of 95002 and 95021?

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 95021 is 9027185042.

LCM(95002,95021) = 9027185042

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Least Common Multiple of 95002 and 95021 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 95021, than apply into the LCM equation.

GCF(95002,95021) = 1
LCM(95002,95021) = ( 95002 × 95021) / 1
LCM(95002,95021) = 9027185042 / 1
LCM(95002,95021) = 9027185042

Least Common Multiple (LCM) of 95002 and 95021 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95002 and 95021. First we will calculate the prime factors of 95002 and 95021.

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 95021

Prime factors of 95021 are 95021. Prime factorization of 95021 in exponential form is:

95021 = 950211

Now multiplying the highest exponent prime factors to calculate the LCM of 95002 and 95021.

LCM(95002,95021) = 21 × 475011 × 950211
LCM(95002,95021) = 9027185042