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What is the Least Common Multiple of 98861 and 98878?

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 98861 and 98878 is 9775177958.

LCM(98861,98878) = 9775177958

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Least Common Multiple of 98861 and 98878 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98861 and 98878, than apply into the LCM equation.

GCF(98861,98878) = 1
LCM(98861,98878) = ( 98861 × 98878) / 1
LCM(98861,98878) = 9775177958 / 1
LCM(98861,98878) = 9775177958

Least Common Multiple (LCM) of 98861 and 98878 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98861 and 98878. First we will calculate the prime factors of 98861 and 98878.

Prime Factorization of 98861

Prime factors of 98861 are 7, 29, 487. Prime factorization of 98861 in exponential form is:

98861 = 71 × 291 × 4871

Prime Factorization of 98878

Prime factors of 98878 are 2, 13, 3803. Prime factorization of 98878 in exponential form is:

98878 = 21 × 131 × 38031

Now multiplying the highest exponent prime factors to calculate the LCM of 98861 and 98878.

LCM(98861,98878) = 71 × 291 × 4871 × 21 × 131 × 38031
LCM(98861,98878) = 9775177958