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What is the Least Common Multiple of 98387 and 98399?

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 98387 and 98399 is 9681182413.

LCM(98387,98399) = 9681182413

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Least Common Multiple of 98387 and 98399 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98387 and 98399, than apply into the LCM equation.

GCF(98387,98399) = 1
LCM(98387,98399) = ( 98387 × 98399) / 1
LCM(98387,98399) = 9681182413 / 1
LCM(98387,98399) = 9681182413

Least Common Multiple (LCM) of 98387 and 98399 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98387 and 98399. First we will calculate the prime factors of 98387 and 98399.

Prime Factorization of 98387

Prime factors of 98387 are 98387. Prime factorization of 98387 in exponential form is:

98387 = 983871

Prime Factorization of 98399

Prime factors of 98399 are 7, 14057. Prime factorization of 98399 in exponential form is:

98399 = 71 × 140571

Now multiplying the highest exponent prime factors to calculate the LCM of 98387 and 98399.

LCM(98387,98399) = 983871 × 71 × 140571
LCM(98387,98399) = 9681182413