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What is the Least Common Multiple of 98858 and 98867?

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 98858 and 98867 is 9773793886.

LCM(98858,98867) = 9773793886

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Least Common Multiple of 98858 and 98867 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98858 and 98867, than apply into the LCM equation.

GCF(98858,98867) = 1
LCM(98858,98867) = ( 98858 × 98867) / 1
LCM(98858,98867) = 9773793886 / 1
LCM(98858,98867) = 9773793886

Least Common Multiple (LCM) of 98858 and 98867 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98858 and 98867. First we will calculate the prime factors of 98858 and 98867.

Prime Factorization of 98858

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

98858 = 21 × 494291

Prime Factorization of 98867

Prime factors of 98867 are 98867. Prime factorization of 98867 in exponential form is:

98867 = 988671

Now multiplying the highest exponent prime factors to calculate the LCM of 98858 and 98867.

LCM(98858,98867) = 21 × 494291 × 988671
LCM(98858,98867) = 9773793886