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What is the Least Common Multiple of 9882 and 9902?

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 9882 and 9902 is 48925782.

LCM(9882,9902) = 48925782

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Least Common Multiple of 9882 and 9902 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9882 and 9902, than apply into the LCM equation.

GCF(9882,9902) = 2
LCM(9882,9902) = ( 9882 × 9902) / 2
LCM(9882,9902) = 97851564 / 2
LCM(9882,9902) = 48925782

Least Common Multiple (LCM) of 9882 and 9902 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9882 and 9902. First we will calculate the prime factors of 9882 and 9902.

Prime Factorization of 9882

Prime factors of 9882 are 2, 3, 61. Prime factorization of 9882 in exponential form is:

9882 = 21 × 34 × 611

Prime Factorization of 9902

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

9902 = 21 × 49511

Now multiplying the highest exponent prime factors to calculate the LCM of 9882 and 9902.

LCM(9882,9902) = 21 × 34 × 611 × 49511
LCM(9882,9902) = 48925782