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What is the Least Common Multiple of 98837 and 98844?

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 98837 and 98844 is 9769444428.

LCM(98837,98844) = 9769444428

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Least Common Multiple of 98837 and 98844 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98837 and 98844, than apply into the LCM equation.

GCF(98837,98844) = 1
LCM(98837,98844) = ( 98837 × 98844) / 1
LCM(98837,98844) = 9769444428 / 1
LCM(98837,98844) = 9769444428

Least Common Multiple (LCM) of 98837 and 98844 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98837 and 98844. First we will calculate the prime factors of 98837 and 98844.

Prime Factorization of 98837

Prime factors of 98837 are 98837. Prime factorization of 98837 in exponential form is:

98837 = 988371

Prime Factorization of 98844

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

98844 = 22 × 31 × 82371

Now multiplying the highest exponent prime factors to calculate the LCM of 98837 and 98844.

LCM(98837,98844) = 988371 × 22 × 31 × 82371
LCM(98837,98844) = 9769444428