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What is the Least Common Multiple of 9970 and 9986?

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 9970 and 9986 is 49780210.

LCM(9970,9986) = 49780210

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Least Common Multiple of 9970 and 9986 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9970 and 9986, than apply into the LCM equation.

GCF(9970,9986) = 2
LCM(9970,9986) = ( 9970 × 9986) / 2
LCM(9970,9986) = 99560420 / 2
LCM(9970,9986) = 49780210

Least Common Multiple (LCM) of 9970 and 9986 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9970 and 9986. First we will calculate the prime factors of 9970 and 9986.

Prime Factorization of 9970

Prime factors of 9970 are 2, 5, 997. Prime factorization of 9970 in exponential form is:

9970 = 21 × 51 × 9971

Prime Factorization of 9986

Prime factors of 9986 are 2, 4993. Prime factorization of 9986 in exponential form is:

9986 = 21 × 49931

Now multiplying the highest exponent prime factors to calculate the LCM of 9970 and 9986.

LCM(9970,9986) = 21 × 51 × 9971 × 49931
LCM(9970,9986) = 49780210