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What is the Least Common Multiple of 98842 and 98855?

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 98842 and 98855 is 9771025910.

LCM(98842,98855) = 9771025910

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Least Common Multiple of 98842 and 98855 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98842 and 98855, than apply into the LCM equation.

GCF(98842,98855) = 1
LCM(98842,98855) = ( 98842 × 98855) / 1
LCM(98842,98855) = 9771025910 / 1
LCM(98842,98855) = 9771025910

Least Common Multiple (LCM) of 98842 and 98855 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98842 and 98855. First we will calculate the prime factors of 98842 and 98855.

Prime Factorization of 98842

Prime factors of 98842 are 2, 73, 677. Prime factorization of 98842 in exponential form is:

98842 = 21 × 731 × 6771

Prime Factorization of 98855

Prime factors of 98855 are 5, 17, 1163. Prime factorization of 98855 in exponential form is:

98855 = 51 × 171 × 11631

Now multiplying the highest exponent prime factors to calculate the LCM of 98842 and 98855.

LCM(98842,98855) = 21 × 731 × 6771 × 51 × 171 × 11631
LCM(98842,98855) = 9771025910