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What is the Least Common Multiple of 9958 and 9970?

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 9958 and 9970 is 49640630.

LCM(9958,9970) = 49640630

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Least Common Multiple of 9958 and 9970 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9958 and 9970, than apply into the LCM equation.

GCF(9958,9970) = 2
LCM(9958,9970) = ( 9958 × 9970) / 2
LCM(9958,9970) = 99281260 / 2
LCM(9958,9970) = 49640630

Least Common Multiple (LCM) of 9958 and 9970 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9958 and 9970. First we will calculate the prime factors of 9958 and 9970.

Prime Factorization of 9958

Prime factors of 9958 are 2, 13, 383. Prime factorization of 9958 in exponential form is:

9958 = 21 × 131 × 3831

Prime Factorization of 9970

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

9970 = 21 × 51 × 9971

Now multiplying the highest exponent prime factors to calculate the LCM of 9958 and 9970.

LCM(9958,9970) = 21 × 131 × 3831 × 51 × 9971
LCM(9958,9970) = 49640630