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What is the Least Common Multiple of 9906 and 9922?

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 9906 and 9922 is 49143666.

LCM(9906,9922) = 49143666

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Least Common Multiple of 9906 and 9922 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9906 and 9922, than apply into the LCM equation.

GCF(9906,9922) = 2
LCM(9906,9922) = ( 9906 × 9922) / 2
LCM(9906,9922) = 98287332 / 2
LCM(9906,9922) = 49143666

Least Common Multiple (LCM) of 9906 and 9922 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9906 and 9922. First we will calculate the prime factors of 9906 and 9922.

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

Prime Factorization of 9922

Prime factors of 9922 are 2, 11, 41. Prime factorization of 9922 in exponential form is:

9922 = 21 × 112 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 9906 and 9922.

LCM(9906,9922) = 21 × 31 × 131 × 1271 × 112 × 411
LCM(9906,9922) = 49143666