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What is the Least Common Multiple of 9902 and 9909?

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 9909 is 98118918.

LCM(9902,9909) = 98118918

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Least Common Multiple of 9902 and 9909 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 9909, than apply into the LCM equation.

GCF(9902,9909) = 1
LCM(9902,9909) = ( 9902 × 9909) / 1
LCM(9902,9909) = 98118918 / 1
LCM(9902,9909) = 98118918

Least Common Multiple (LCM) of 9902 and 9909 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9902 and 9909. First we will calculate the prime factors of 9902 and 9909.

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 9909

Prime factors of 9909 are 3, 367. Prime factorization of 9909 in exponential form is:

9909 = 33 × 3671

Now multiplying the highest exponent prime factors to calculate the LCM of 9902 and 9909.

LCM(9902,9909) = 21 × 49511 × 33 × 3671
LCM(9902,9909) = 98118918