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What is the Least Common Multiple of 98113 and 98127?

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 98113 and 98127 is 9627534351.

LCM(98113,98127) = 9627534351

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Least Common Multiple of 98113 and 98127 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98113 and 98127, than apply into the LCM equation.

GCF(98113,98127) = 1
LCM(98113,98127) = ( 98113 × 98127) / 1
LCM(98113,98127) = 9627534351 / 1
LCM(98113,98127) = 9627534351

Least Common Multiple (LCM) of 98113 and 98127 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98113 and 98127. First we will calculate the prime factors of 98113 and 98127.

Prime Factorization of 98113

Prime factors of 98113 are 41, 2393. Prime factorization of 98113 in exponential form is:

98113 = 411 × 23931

Prime Factorization of 98127

Prime factors of 98127 are 3, 10903. Prime factorization of 98127 in exponential form is:

98127 = 32 × 109031

Now multiplying the highest exponent prime factors to calculate the LCM of 98113 and 98127.

LCM(98113,98127) = 411 × 23931 × 32 × 109031
LCM(98113,98127) = 9627534351