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What is the Least Common Multiple of 98821 and 98831?

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 98821 and 98831 is 9766578251.

LCM(98821,98831) = 9766578251

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Least Common Multiple of 98821 and 98831 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98821 and 98831, than apply into the LCM equation.

GCF(98821,98831) = 1
LCM(98821,98831) = ( 98821 × 98831) / 1
LCM(98821,98831) = 9766578251 / 1
LCM(98821,98831) = 9766578251

Least Common Multiple (LCM) of 98821 and 98831 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98821 and 98831. First we will calculate the prime factors of 98821 and 98831.

Prime Factorization of 98821

Prime factors of 98821 are 17, 5813. Prime factorization of 98821 in exponential form is:

98821 = 171 × 58131

Prime Factorization of 98831

Prime factors of 98831 are 23, 4297. Prime factorization of 98831 in exponential form is:

98831 = 231 × 42971

Now multiplying the highest exponent prime factors to calculate the LCM of 98821 and 98831.

LCM(98821,98831) = 171 × 58131 × 231 × 42971
LCM(98821,98831) = 9766578251