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What is the Least Common Multiple of 90797 and 90803?

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 90797 and 90803 is 8244639991.

LCM(90797,90803) = 8244639991

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Least Common Multiple of 90797 and 90803 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90797 and 90803, than apply into the LCM equation.

GCF(90797,90803) = 1
LCM(90797,90803) = ( 90797 × 90803) / 1
LCM(90797,90803) = 8244639991 / 1
LCM(90797,90803) = 8244639991

Least Common Multiple (LCM) of 90797 and 90803 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90797 and 90803. First we will calculate the prime factors of 90797 and 90803.

Prime Factorization of 90797

Prime factors of 90797 are 7, 17, 109. Prime factorization of 90797 in exponential form is:

90797 = 72 × 171 × 1091

Prime Factorization of 90803

Prime factors of 90803 are 90803. Prime factorization of 90803 in exponential form is:

90803 = 908031

Now multiplying the highest exponent prime factors to calculate the LCM of 90797 and 90803.

LCM(90797,90803) = 72 × 171 × 1091 × 908031
LCM(90797,90803) = 8244639991