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What is the Least Common Multiple of 98851 and 98858?

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 98851 and 98858 is 9772212158.

LCM(98851,98858) = 9772212158

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Least Common Multiple of 98851 and 98858 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98851 and 98858, than apply into the LCM equation.

GCF(98851,98858) = 1
LCM(98851,98858) = ( 98851 × 98858) / 1
LCM(98851,98858) = 9772212158 / 1
LCM(98851,98858) = 9772212158

Least Common Multiple (LCM) of 98851 and 98858 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98851 and 98858. First we will calculate the prime factors of 98851 and 98858.

Prime Factorization of 98851

Prime factors of 98851 are 41, 2411. Prime factorization of 98851 in exponential form is:

98851 = 411 × 24111

Prime Factorization of 98858

Prime factors of 98858 are 2, 49429. Prime factorization of 98858 in exponential form is:

98858 = 21 × 494291

Now multiplying the highest exponent prime factors to calculate the LCM of 98851 and 98858.

LCM(98851,98858) = 411 × 24111 × 21 × 494291
LCM(98851,98858) = 9772212158