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What is the Least Common Multiple of 98877 and 98890?

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 98877 and 98890 is 9777946530.

LCM(98877,98890) = 9777946530

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Least Common Multiple of 98877 and 98890 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98877 and 98890, than apply into the LCM equation.

GCF(98877,98890) = 1
LCM(98877,98890) = ( 98877 × 98890) / 1
LCM(98877,98890) = 9777946530 / 1
LCM(98877,98890) = 9777946530

Least Common Multiple (LCM) of 98877 and 98890 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98877 and 98890. First we will calculate the prime factors of 98877 and 98890.

Prime Factorization of 98877

Prime factors of 98877 are 3, 23, 1433. Prime factorization of 98877 in exponential form is:

98877 = 31 × 231 × 14331

Prime Factorization of 98890

Prime factors of 98890 are 2, 5, 11, 29, 31. Prime factorization of 98890 in exponential form is:

98890 = 21 × 51 × 111 × 291 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 98877 and 98890.

LCM(98877,98890) = 31 × 231 × 14331 × 21 × 51 × 111 × 291 × 311
LCM(98877,98890) = 9777946530