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What is the Least Common Multiple of 9850 and 9866?

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 9850 and 9866 is 48590050.

LCM(9850,9866) = 48590050

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Least Common Multiple of 9850 and 9866 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9850 and 9866, than apply into the LCM equation.

GCF(9850,9866) = 2
LCM(9850,9866) = ( 9850 × 9866) / 2
LCM(9850,9866) = 97180100 / 2
LCM(9850,9866) = 48590050

Least Common Multiple (LCM) of 9850 and 9866 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9850 and 9866. First we will calculate the prime factors of 9850 and 9866.

Prime Factorization of 9850

Prime factors of 9850 are 2, 5, 197. Prime factorization of 9850 in exponential form is:

9850 = 21 × 52 × 1971

Prime Factorization of 9866

Prime factors of 9866 are 2, 4933. Prime factorization of 9866 in exponential form is:

9866 = 21 × 49331

Now multiplying the highest exponent prime factors to calculate the LCM of 9850 and 9866.

LCM(9850,9866) = 21 × 52 × 1971 × 49331
LCM(9850,9866) = 48590050