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What is the Least Common Multiple of 9914 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 9914 and 9922 is 49183354.

LCM(9914,9922) = 49183354

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Least Common Multiple of 9914 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 9914 and 9922, than apply into the LCM equation.

GCF(9914,9922) = 2
LCM(9914,9922) = ( 9914 × 9922) / 2
LCM(9914,9922) = 98366708 / 2
LCM(9914,9922) = 49183354

Least Common Multiple (LCM) of 9914 and 9922 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9914 and 9922. First we will calculate the prime factors of 9914 and 9922.

Prime Factorization of 9914

Prime factors of 9914 are 2, 4957. Prime factorization of 9914 in exponential form is:

9914 = 21 × 49571

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 9914 and 9922.

LCM(9914,9922) = 21 × 49571 × 112 × 411
LCM(9914,9922) = 49183354