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What is the Least Common Multiple of 98888 and 98902?

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 98888 and 98902 is 4890110488.

LCM(98888,98902) = 4890110488

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Least Common Multiple of 98888 and 98902 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98888 and 98902, than apply into the LCM equation.

GCF(98888,98902) = 2
LCM(98888,98902) = ( 98888 × 98902) / 2
LCM(98888,98902) = 9780220976 / 2
LCM(98888,98902) = 4890110488

Least Common Multiple (LCM) of 98888 and 98902 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98888 and 98902. First we will calculate the prime factors of 98888 and 98902.

Prime Factorization of 98888

Prime factors of 98888 are 2, 47, 263. Prime factorization of 98888 in exponential form is:

98888 = 23 × 471 × 2631

Prime Factorization of 98902

Prime factors of 98902 are 2, 49451. Prime factorization of 98902 in exponential form is:

98902 = 21 × 494511

Now multiplying the highest exponent prime factors to calculate the LCM of 98888 and 98902.

LCM(98888,98902) = 23 × 471 × 2631 × 494511
LCM(98888,98902) = 4890110488