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What is the Least Common Multiple of 98844 and 98862?

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 98844 and 98862 is 1628652588.

LCM(98844,98862) = 1628652588

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Least Common Multiple of 98844 and 98862 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98844 and 98862, than apply into the LCM equation.

GCF(98844,98862) = 6
LCM(98844,98862) = ( 98844 × 98862) / 6
LCM(98844,98862) = 9771915528 / 6
LCM(98844,98862) = 1628652588

Least Common Multiple (LCM) of 98844 and 98862 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98844 and 98862. First we will calculate the prime factors of 98844 and 98862.

Prime Factorization of 98844

Prime factors of 98844 are 2, 3, 8237. Prime factorization of 98844 in exponential form is:

98844 = 22 × 31 × 82371

Prime Factorization of 98862

Prime factors of 98862 are 2, 3, 16477. Prime factorization of 98862 in exponential form is:

98862 = 21 × 31 × 164771

Now multiplying the highest exponent prime factors to calculate the LCM of 98844 and 98862.

LCM(98844,98862) = 22 × 31 × 82371 × 164771
LCM(98844,98862) = 1628652588