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What is the Least Common Multiple of 98878 and 98884?

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 98878 and 98884 is 4888726076.

LCM(98878,98884) = 4888726076

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Least Common Multiple of 98878 and 98884 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98878 and 98884, than apply into the LCM equation.

GCF(98878,98884) = 2
LCM(98878,98884) = ( 98878 × 98884) / 2
LCM(98878,98884) = 9777452152 / 2
LCM(98878,98884) = 4888726076

Least Common Multiple (LCM) of 98878 and 98884 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98878 and 98884. First we will calculate the prime factors of 98878 and 98884.

Prime Factorization of 98878

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

98878 = 21 × 131 × 38031

Prime Factorization of 98884

Prime factors of 98884 are 2, 59, 419. Prime factorization of 98884 in exponential form is:

98884 = 22 × 591 × 4191

Now multiplying the highest exponent prime factors to calculate the LCM of 98878 and 98884.

LCM(98878,98884) = 22 × 131 × 38031 × 591 × 4191
LCM(98878,98884) = 4888726076