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What is the Least Common Multiple of 9950 and 9968?

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 9950 and 9968 is 49590800.

LCM(9950,9968) = 49590800

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Least Common Multiple of 9950 and 9968 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9950 and 9968, than apply into the LCM equation.

GCF(9950,9968) = 2
LCM(9950,9968) = ( 9950 × 9968) / 2
LCM(9950,9968) = 99181600 / 2
LCM(9950,9968) = 49590800

Least Common Multiple (LCM) of 9950 and 9968 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9950 and 9968. First we will calculate the prime factors of 9950 and 9968.

Prime Factorization of 9950

Prime factors of 9950 are 2, 5, 199. Prime factorization of 9950 in exponential form is:

9950 = 21 × 52 × 1991

Prime Factorization of 9968

Prime factors of 9968 are 2, 7, 89. Prime factorization of 9968 in exponential form is:

9968 = 24 × 71 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 9950 and 9968.

LCM(9950,9968) = 24 × 52 × 1991 × 71 × 891
LCM(9950,9968) = 49590800