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What is the Least Common Multiple of 98633 and 98639?

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 98633 and 98639 is 9729060487.

LCM(98633,98639) = 9729060487

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Least Common Multiple of 98633 and 98639 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98633 and 98639, than apply into the LCM equation.

GCF(98633,98639) = 1
LCM(98633,98639) = ( 98633 × 98639) / 1
LCM(98633,98639) = 9729060487 / 1
LCM(98633,98639) = 9729060487

Least Common Multiple (LCM) of 98633 and 98639 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98633 and 98639. First we will calculate the prime factors of 98633 and 98639.

Prime Factorization of 98633

Prime factors of 98633 are 53, 1861. Prime factorization of 98633 in exponential form is:

98633 = 531 × 18611

Prime Factorization of 98639

Prime factors of 98639 are 98639. Prime factorization of 98639 in exponential form is:

98639 = 986391

Now multiplying the highest exponent prime factors to calculate the LCM of 98633 and 98639.

LCM(98633,98639) = 531 × 18611 × 986391
LCM(98633,98639) = 9729060487