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What is the Least Common Multiple of 98533 and 98539?

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 98533 and 98539 is 9709343287.

LCM(98533,98539) = 9709343287

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Least Common Multiple of 98533 and 98539 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98533 and 98539, than apply into the LCM equation.

GCF(98533,98539) = 1
LCM(98533,98539) = ( 98533 × 98539) / 1
LCM(98533,98539) = 9709343287 / 1
LCM(98533,98539) = 9709343287

Least Common Multiple (LCM) of 98533 and 98539 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98533 and 98539. First we will calculate the prime factors of 98533 and 98539.

Prime Factorization of 98533

Prime factors of 98533 are 98533. Prime factorization of 98533 in exponential form is:

98533 = 985331

Prime Factorization of 98539

Prime factors of 98539 are 7, 2011. Prime factorization of 98539 in exponential form is:

98539 = 72 × 20111

Now multiplying the highest exponent prime factors to calculate the LCM of 98533 and 98539.

LCM(98533,98539) = 985331 × 72 × 20111
LCM(98533,98539) = 9709343287