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What is the Least Common Multiple of 9787 and 9802?

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 9787 and 9802 is 95932174.

LCM(9787,9802) = 95932174

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Least Common Multiple of 9787 and 9802 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9787 and 9802, than apply into the LCM equation.

GCF(9787,9802) = 1
LCM(9787,9802) = ( 9787 × 9802) / 1
LCM(9787,9802) = 95932174 / 1
LCM(9787,9802) = 95932174

Least Common Multiple (LCM) of 9787 and 9802 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9787 and 9802. First we will calculate the prime factors of 9787 and 9802.

Prime Factorization of 9787

Prime factors of 9787 are 9787. Prime factorization of 9787 in exponential form is:

9787 = 97871

Prime Factorization of 9802

Prime factors of 9802 are 2, 13, 29. Prime factorization of 9802 in exponential form is:

9802 = 21 × 132 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 9787 and 9802.

LCM(9787,9802) = 97871 × 21 × 132 × 291
LCM(9787,9802) = 95932174