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What is the Least Common Multiple of 98046 and 98063?

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 98046 and 98063 is 9614684898.

LCM(98046,98063) = 9614684898

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Least Common Multiple of 98046 and 98063 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98046 and 98063, than apply into the LCM equation.

GCF(98046,98063) = 1
LCM(98046,98063) = ( 98046 × 98063) / 1
LCM(98046,98063) = 9614684898 / 1
LCM(98046,98063) = 9614684898

Least Common Multiple (LCM) of 98046 and 98063 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98046 and 98063. First we will calculate the prime factors of 98046 and 98063.

Prime Factorization of 98046

Prime factors of 98046 are 2, 3, 13, 419. Prime factorization of 98046 in exponential form is:

98046 = 21 × 32 × 131 × 4191

Prime Factorization of 98063

Prime factors of 98063 are 7, 14009. Prime factorization of 98063 in exponential form is:

98063 = 71 × 140091

Now multiplying the highest exponent prime factors to calculate the LCM of 98046 and 98063.

LCM(98046,98063) = 21 × 32 × 131 × 4191 × 71 × 140091
LCM(98046,98063) = 9614684898