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What is the Least Common Multiple of 9795 and 9801?

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 9795 and 9801 is 32000265.

LCM(9795,9801) = 32000265

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Least Common Multiple of 9795 and 9801 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9795 and 9801, than apply into the LCM equation.

GCF(9795,9801) = 3
LCM(9795,9801) = ( 9795 × 9801) / 3
LCM(9795,9801) = 96000795 / 3
LCM(9795,9801) = 32000265

Least Common Multiple (LCM) of 9795 and 9801 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9795 and 9801. First we will calculate the prime factors of 9795 and 9801.

Prime Factorization of 9795

Prime factors of 9795 are 3, 5, 653. Prime factorization of 9795 in exponential form is:

9795 = 31 × 51 × 6531

Prime Factorization of 9801

Prime factors of 9801 are 3, 11. Prime factorization of 9801 in exponential form is:

9801 = 34 × 112

Now multiplying the highest exponent prime factors to calculate the LCM of 9795 and 9801.

LCM(9795,9801) = 34 × 51 × 6531 × 112
LCM(9795,9801) = 32000265