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What is the Least Common Multiple of 98921 and 98939?

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 98921 and 98939 is 9787144819.

LCM(98921,98939) = 9787144819

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Least Common Multiple of 98921 and 98939 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98921 and 98939, than apply into the LCM equation.

GCF(98921,98939) = 1
LCM(98921,98939) = ( 98921 × 98939) / 1
LCM(98921,98939) = 9787144819 / 1
LCM(98921,98939) = 9787144819

Least Common Multiple (LCM) of 98921 and 98939 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98921 and 98939. First we will calculate the prime factors of 98921 and 98939.

Prime Factorization of 98921

Prime factors of 98921 are 31, 3191. Prime factorization of 98921 in exponential form is:

98921 = 311 × 31911

Prime Factorization of 98939

Prime factors of 98939 are 98939. Prime factorization of 98939 in exponential form is:

98939 = 989391

Now multiplying the highest exponent prime factors to calculate the LCM of 98921 and 98939.

LCM(98921,98939) = 311 × 31911 × 989391
LCM(98921,98939) = 9787144819