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What is the Least Common Multiple of 98927 and 98933?

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 98927 and 98933 is 9787144891.

LCM(98927,98933) = 9787144891

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Least Common Multiple of 98927 and 98933 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98927 and 98933, than apply into the LCM equation.

GCF(98927,98933) = 1
LCM(98927,98933) = ( 98927 × 98933) / 1
LCM(98927,98933) = 9787144891 / 1
LCM(98927,98933) = 9787144891

Least Common Multiple (LCM) of 98927 and 98933 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98927 and 98933. First we will calculate the prime factors of 98927 and 98933.

Prime Factorization of 98927

Prime factors of 98927 are 98927. Prime factorization of 98927 in exponential form is:

98927 = 989271

Prime Factorization of 98933

Prime factors of 98933 are 19, 41, 127. Prime factorization of 98933 in exponential form is:

98933 = 191 × 411 × 1271

Now multiplying the highest exponent prime factors to calculate the LCM of 98927 and 98933.

LCM(98927,98933) = 989271 × 191 × 411 × 1271
LCM(98927,98933) = 9787144891