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What is the Least Common Multiple of 98870 and 98881?

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 98870 and 98881 is 9776364470.

LCM(98870,98881) = 9776364470

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Least Common Multiple of 98870 and 98881 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98870 and 98881, than apply into the LCM equation.

GCF(98870,98881) = 1
LCM(98870,98881) = ( 98870 × 98881) / 1
LCM(98870,98881) = 9776364470 / 1
LCM(98870,98881) = 9776364470

Least Common Multiple (LCM) of 98870 and 98881 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98870 and 98881. First we will calculate the prime factors of 98870 and 98881.

Prime Factorization of 98870

Prime factors of 98870 are 2, 5, 9887. Prime factorization of 98870 in exponential form is:

98870 = 21 × 51 × 98871

Prime Factorization of 98881

Prime factors of 98881 are 61, 1621. Prime factorization of 98881 in exponential form is:

98881 = 611 × 16211

Now multiplying the highest exponent prime factors to calculate the LCM of 98870 and 98881.

LCM(98870,98881) = 21 × 51 × 98871 × 611 × 16211
LCM(98870,98881) = 9776364470