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What is the Least Common Multiple of 9874 and 9892?

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 9874 and 9892 is 48836804.

LCM(9874,9892) = 48836804

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Least Common Multiple of 9874 and 9892 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9874 and 9892, than apply into the LCM equation.

GCF(9874,9892) = 2
LCM(9874,9892) = ( 9874 × 9892) / 2
LCM(9874,9892) = 97673608 / 2
LCM(9874,9892) = 48836804

Least Common Multiple (LCM) of 9874 and 9892 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9874 and 9892. First we will calculate the prime factors of 9874 and 9892.

Prime Factorization of 9874

Prime factors of 9874 are 2, 4937. Prime factorization of 9874 in exponential form is:

9874 = 21 × 49371

Prime Factorization of 9892

Prime factors of 9892 are 2, 2473. Prime factorization of 9892 in exponential form is:

9892 = 22 × 24731

Now multiplying the highest exponent prime factors to calculate the LCM of 9874 and 9892.

LCM(9874,9892) = 22 × 49371 × 24731
LCM(9874,9892) = 48836804