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What is the Least Common Multiple of 98863 and 98871?

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 98863 and 98871 is 9774683673.

LCM(98863,98871) = 9774683673

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Least Common Multiple of 98863 and 98871 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98863 and 98871, than apply into the LCM equation.

GCF(98863,98871) = 1
LCM(98863,98871) = ( 98863 × 98871) / 1
LCM(98863,98871) = 9774683673 / 1
LCM(98863,98871) = 9774683673

Least Common Multiple (LCM) of 98863 and 98871 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98863 and 98871. First we will calculate the prime factors of 98863 and 98871.

Prime Factorization of 98863

Prime factors of 98863 are 109, 907. Prime factorization of 98863 in exponential form is:

98863 = 1091 × 9071

Prime Factorization of 98871

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

98871 = 31 × 329571

Now multiplying the highest exponent prime factors to calculate the LCM of 98863 and 98871.

LCM(98863,98871) = 1091 × 9071 × 31 × 329571
LCM(98863,98871) = 9774683673