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What is the Least Common Multiple of 9902 and 9906?

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 9902 and 9906 is 49044606.

LCM(9902,9906) = 49044606

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Least Common Multiple of 9902 and 9906 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9902 and 9906, than apply into the LCM equation.

GCF(9902,9906) = 2
LCM(9902,9906) = ( 9902 × 9906) / 2
LCM(9902,9906) = 98089212 / 2
LCM(9902,9906) = 49044606

Least Common Multiple (LCM) of 9902 and 9906 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9902 and 9906. First we will calculate the prime factors of 9902 and 9906.

Prime Factorization of 9902

Prime factors of 9902 are 2, 4951. Prime factorization of 9902 in exponential form is:

9902 = 21 × 49511

Prime Factorization of 9906

Prime factors of 9906 are 2, 3, 13, 127. Prime factorization of 9906 in exponential form is:

9906 = 21 × 31 × 131 × 1271

Now multiplying the highest exponent prime factors to calculate the LCM of 9902 and 9906.

LCM(9902,9906) = 21 × 49511 × 31 × 131 × 1271
LCM(9902,9906) = 49044606