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What is the Least Common Multiple of 98787 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 98787 and 98801 is 9760254387.

LCM(98787,98801) = 9760254387

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Least Common Multiple of 98787 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 98787 and 98801, than apply into the LCM equation.

GCF(98787,98801) = 1
LCM(98787,98801) = ( 98787 × 98801) / 1
LCM(98787,98801) = 9760254387 / 1
LCM(98787,98801) = 9760254387

Least Common Multiple (LCM) of 98787 and 98801 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98787 and 98801. First we will calculate the prime factors of 98787 and 98801.

Prime Factorization of 98787

Prime factors of 98787 are 3, 13, 17, 149. Prime factorization of 98787 in exponential form is:

98787 = 31 × 131 × 171 × 1491

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 98787 and 98801.

LCM(98787,98801) = 31 × 131 × 171 × 1491 × 988011
LCM(98787,98801) = 9760254387