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What is the Least Common Multiple of 98871 and 98883?

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 98871 and 98883 is 3258887031.

LCM(98871,98883) = 3258887031

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Least Common Multiple of 98871 and 98883 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98871 and 98883, than apply into the LCM equation.

GCF(98871,98883) = 3
LCM(98871,98883) = ( 98871 × 98883) / 3
LCM(98871,98883) = 9776661093 / 3
LCM(98871,98883) = 3258887031

Least Common Multiple (LCM) of 98871 and 98883 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98871 and 98883. First we will calculate the prime factors of 98871 and 98883.

Prime Factorization of 98871

Prime factors of 98871 are 3, 32957. Prime factorization of 98871 in exponential form is:

98871 = 31 × 329571

Prime Factorization of 98883

Prime factors of 98883 are 3, 10987. Prime factorization of 98883 in exponential form is:

98883 = 32 × 109871

Now multiplying the highest exponent prime factors to calculate the LCM of 98871 and 98883.

LCM(98871,98883) = 32 × 329571 × 109871
LCM(98871,98883) = 3258887031