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What is the Least Common Multiple of 98558 and 98567?

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 98558 and 98567 is 9714566386.

LCM(98558,98567) = 9714566386

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Least Common Multiple of 98558 and 98567 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98558 and 98567, than apply into the LCM equation.

GCF(98558,98567) = 1
LCM(98558,98567) = ( 98558 × 98567) / 1
LCM(98558,98567) = 9714566386 / 1
LCM(98558,98567) = 9714566386

Least Common Multiple (LCM) of 98558 and 98567 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98558 and 98567. First we will calculate the prime factors of 98558 and 98567.

Prime Factorization of 98558

Prime factors of 98558 are 2, 49279. Prime factorization of 98558 in exponential form is:

98558 = 21 × 492791

Prime Factorization of 98567

Prime factors of 98567 are 7, 14081. Prime factorization of 98567 in exponential form is:

98567 = 71 × 140811

Now multiplying the highest exponent prime factors to calculate the LCM of 98558 and 98567.

LCM(98558,98567) = 21 × 492791 × 71 × 140811
LCM(98558,98567) = 9714566386