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What is the Least Common Multiple of 9949 and 9964?

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 9949 and 9964 is 99131836.

LCM(9949,9964) = 99131836

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Least Common Multiple of 9949 and 9964 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9949 and 9964, than apply into the LCM equation.

GCF(9949,9964) = 1
LCM(9949,9964) = ( 9949 × 9964) / 1
LCM(9949,9964) = 99131836 / 1
LCM(9949,9964) = 99131836

Least Common Multiple (LCM) of 9949 and 9964 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9949 and 9964. First we will calculate the prime factors of 9949 and 9964.

Prime Factorization of 9949

Prime factors of 9949 are 9949. Prime factorization of 9949 in exponential form is:

9949 = 99491

Prime Factorization of 9964

Prime factors of 9964 are 2, 47, 53. Prime factorization of 9964 in exponential form is:

9964 = 22 × 471 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 9949 and 9964.

LCM(9949,9964) = 99491 × 22 × 471 × 531
LCM(9949,9964) = 99131836