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What is the Least Common Multiple of 99485 and 99497?

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 99485 and 99497 is 9898459045.

LCM(99485,99497) = 9898459045

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Least Common Multiple of 99485 and 99497 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99485 and 99497, than apply into the LCM equation.

GCF(99485,99497) = 1
LCM(99485,99497) = ( 99485 × 99497) / 1
LCM(99485,99497) = 9898459045 / 1
LCM(99485,99497) = 9898459045

Least Common Multiple (LCM) of 99485 and 99497 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99485 and 99497. First we will calculate the prime factors of 99485 and 99497.

Prime Factorization of 99485

Prime factors of 99485 are 5, 101, 197. Prime factorization of 99485 in exponential form is:

99485 = 51 × 1011 × 1971

Prime Factorization of 99497

Prime factors of 99497 are 99497. Prime factorization of 99497 in exponential form is:

99497 = 994971

Now multiplying the highest exponent prime factors to calculate the LCM of 99485 and 99497.

LCM(99485,99497) = 51 × 1011 × 1971 × 994971
LCM(99485,99497) = 9898459045