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What is the Least Common Multiple of 9650 and 9666?

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 9650 and 9666 is 46638450.

LCM(9650,9666) = 46638450

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Least Common Multiple of 9650 and 9666 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9650 and 9666, than apply into the LCM equation.

GCF(9650,9666) = 2
LCM(9650,9666) = ( 9650 × 9666) / 2
LCM(9650,9666) = 93276900 / 2
LCM(9650,9666) = 46638450

Least Common Multiple (LCM) of 9650 and 9666 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9650 and 9666. First we will calculate the prime factors of 9650 and 9666.

Prime Factorization of 9650

Prime factors of 9650 are 2, 5, 193. Prime factorization of 9650 in exponential form is:

9650 = 21 × 52 × 1931

Prime Factorization of 9666

Prime factors of 9666 are 2, 3, 179. Prime factorization of 9666 in exponential form is:

9666 = 21 × 33 × 1791

Now multiplying the highest exponent prime factors to calculate the LCM of 9650 and 9666.

LCM(9650,9666) = 21 × 52 × 1931 × 33 × 1791
LCM(9650,9666) = 46638450