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What is the Least Common Multiple of 98001 and 98018?

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 98001 and 98018 is 9605862018.

LCM(98001,98018) = 9605862018

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Least Common Multiple of 98001 and 98018 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98001 and 98018, than apply into the LCM equation.

GCF(98001,98018) = 1
LCM(98001,98018) = ( 98001 × 98018) / 1
LCM(98001,98018) = 9605862018 / 1
LCM(98001,98018) = 9605862018

Least Common Multiple (LCM) of 98001 and 98018 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98001 and 98018. First we will calculate the prime factors of 98001 and 98018.

Prime Factorization of 98001

Prime factors of 98001 are 3, 10889. Prime factorization of 98001 in exponential form is:

98001 = 32 × 108891

Prime Factorization of 98018

Prime factors of 98018 are 2, 49009. Prime factorization of 98018 in exponential form is:

98018 = 21 × 490091

Now multiplying the highest exponent prime factors to calculate the LCM of 98001 and 98018.

LCM(98001,98018) = 32 × 108891 × 21 × 490091
LCM(98001,98018) = 9605862018