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What is the Least Common Multiple of 99795 and 99810?

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 99795 and 99810 is 664035930.

LCM(99795,99810) = 664035930

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Least Common Multiple of 99795 and 99810 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99795 and 99810, than apply into the LCM equation.

GCF(99795,99810) = 15
LCM(99795,99810) = ( 99795 × 99810) / 15
LCM(99795,99810) = 9960538950 / 15
LCM(99795,99810) = 664035930

Least Common Multiple (LCM) of 99795 and 99810 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99795 and 99810. First we will calculate the prime factors of 99795 and 99810.

Prime Factorization of 99795

Prime factors of 99795 are 3, 5, 6653. Prime factorization of 99795 in exponential form is:

99795 = 31 × 51 × 66531

Prime Factorization of 99810

Prime factors of 99810 are 2, 3, 5, 1109. Prime factorization of 99810 in exponential form is:

99810 = 21 × 32 × 51 × 11091

Now multiplying the highest exponent prime factors to calculate the LCM of 99795 and 99810.

LCM(99795,99810) = 32 × 51 × 66531 × 21 × 11091
LCM(99795,99810) = 664035930