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What is the Least Common Multiple of 9948 and 9958?

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 9948 and 9958 is 49531092.

LCM(9948,9958) = 49531092

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Least Common Multiple of 9948 and 9958 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9948 and 9958, than apply into the LCM equation.

GCF(9948,9958) = 2
LCM(9948,9958) = ( 9948 × 9958) / 2
LCM(9948,9958) = 99062184 / 2
LCM(9948,9958) = 49531092

Least Common Multiple (LCM) of 9948 and 9958 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9948 and 9958. First we will calculate the prime factors of 9948 and 9958.

Prime Factorization of 9948

Prime factors of 9948 are 2, 3, 829. Prime factorization of 9948 in exponential form is:

9948 = 22 × 31 × 8291

Prime Factorization of 9958

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

9958 = 21 × 131 × 3831

Now multiplying the highest exponent prime factors to calculate the LCM of 9948 and 9958.

LCM(9948,9958) = 22 × 31 × 8291 × 131 × 3831
LCM(9948,9958) = 49531092