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What is the Least Common Multiple of 9927 and 9938?

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 9927 and 9938 is 98654526.

LCM(9927,9938) = 98654526

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Least Common Multiple of 9927 and 9938 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9927 and 9938, than apply into the LCM equation.

GCF(9927,9938) = 1
LCM(9927,9938) = ( 9927 × 9938) / 1
LCM(9927,9938) = 98654526 / 1
LCM(9927,9938) = 98654526

Least Common Multiple (LCM) of 9927 and 9938 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9927 and 9938. First we will calculate the prime factors of 9927 and 9938.

Prime Factorization of 9927

Prime factors of 9927 are 3, 1103. Prime factorization of 9927 in exponential form is:

9927 = 32 × 11031

Prime Factorization of 9938

Prime factors of 9938 are 2, 4969. Prime factorization of 9938 in exponential form is:

9938 = 21 × 49691

Now multiplying the highest exponent prime factors to calculate the LCM of 9927 and 9938.

LCM(9927,9938) = 32 × 11031 × 21 × 49691
LCM(9927,9938) = 98654526