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What is the Least Common Multiple of 98371 and 98391?

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 98371 and 98391 is 9678821061.

LCM(98371,98391) = 9678821061

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Least Common Multiple of 98371 and 98391 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98371 and 98391, than apply into the LCM equation.

GCF(98371,98391) = 1
LCM(98371,98391) = ( 98371 × 98391) / 1
LCM(98371,98391) = 9678821061 / 1
LCM(98371,98391) = 9678821061

Least Common Multiple (LCM) of 98371 and 98391 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98371 and 98391. First we will calculate the prime factors of 98371 and 98391.

Prime Factorization of 98371

Prime factors of 98371 are 7, 13, 23, 47. Prime factorization of 98371 in exponential form is:

98371 = 71 × 131 × 231 × 471

Prime Factorization of 98391

Prime factors of 98391 are 3, 32797. Prime factorization of 98391 in exponential form is:

98391 = 31 × 327971

Now multiplying the highest exponent prime factors to calculate the LCM of 98371 and 98391.

LCM(98371,98391) = 71 × 131 × 231 × 471 × 31 × 327971
LCM(98371,98391) = 9678821061