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What is the Least Common Multiple of 98377 and 98389?

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 98377 and 98389 is 9679214653.

LCM(98377,98389) = 9679214653

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Least Common Multiple of 98377 and 98389 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98377 and 98389, than apply into the LCM equation.

GCF(98377,98389) = 1
LCM(98377,98389) = ( 98377 × 98389) / 1
LCM(98377,98389) = 9679214653 / 1
LCM(98377,98389) = 9679214653

Least Common Multiple (LCM) of 98377 and 98389 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98377 and 98389. First we will calculate the prime factors of 98377 and 98389.

Prime Factorization of 98377

Prime factors of 98377 are 98377. Prime factorization of 98377 in exponential form is:

98377 = 983771

Prime Factorization of 98389

Prime factors of 98389 are 98389. Prime factorization of 98389 in exponential form is:

98389 = 983891

Now multiplying the highest exponent prime factors to calculate the LCM of 98377 and 98389.

LCM(98377,98389) = 983771 × 983891
LCM(98377,98389) = 9679214653