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What is the Least Common Multiple of 9921 and 9937?

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 9921 and 9937 is 98584977.

LCM(9921,9937) = 98584977

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Least Common Multiple of 9921 and 9937 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9921 and 9937, than apply into the LCM equation.

GCF(9921,9937) = 1
LCM(9921,9937) = ( 9921 × 9937) / 1
LCM(9921,9937) = 98584977 / 1
LCM(9921,9937) = 98584977

Least Common Multiple (LCM) of 9921 and 9937 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9921 and 9937. First we will calculate the prime factors of 9921 and 9937.

Prime Factorization of 9921

Prime factors of 9921 are 3, 3307. Prime factorization of 9921 in exponential form is:

9921 = 31 × 33071

Prime Factorization of 9937

Prime factors of 9937 are 19, 523. Prime factorization of 9937 in exponential form is:

9937 = 191 × 5231

Now multiplying the highest exponent prime factors to calculate the LCM of 9921 and 9937.

LCM(9921,9937) = 31 × 33071 × 191 × 5231
LCM(9921,9937) = 98584977