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What is the Least Common Multiple of 98794 and 98801?

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 98794 and 98801 is 9760945994.

LCM(98794,98801) = 9760945994

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Least Common Multiple of 98794 and 98801 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98794 and 98801, than apply into the LCM equation.

GCF(98794,98801) = 1
LCM(98794,98801) = ( 98794 × 98801) / 1
LCM(98794,98801) = 9760945994 / 1
LCM(98794,98801) = 9760945994

Least Common Multiple (LCM) of 98794 and 98801 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98794 and 98801. First we will calculate the prime factors of 98794 and 98801.

Prime Factorization of 98794

Prime factors of 98794 are 2, 47, 1051. Prime factorization of 98794 in exponential form is:

98794 = 21 × 471 × 10511

Prime Factorization of 98801

Prime factors of 98801 are 98801. Prime factorization of 98801 in exponential form is:

98801 = 988011

Now multiplying the highest exponent prime factors to calculate the LCM of 98794 and 98801.

LCM(98794,98801) = 21 × 471 × 10511 × 988011
LCM(98794,98801) = 9760945994