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What is the Least Common Multiple of 98558 and 98577?

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 98577 is 9715551966.

LCM(98558,98577) = 9715551966

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Least Common Multiple of 98558 and 98577 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 98577, than apply into the LCM equation.

GCF(98558,98577) = 1
LCM(98558,98577) = ( 98558 × 98577) / 1
LCM(98558,98577) = 9715551966 / 1
LCM(98558,98577) = 9715551966

Least Common Multiple (LCM) of 98558 and 98577 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98558 and 98577. First we will calculate the prime factors of 98558 and 98577.

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 98577

Prime factors of 98577 are 3, 1217. Prime factorization of 98577 in exponential form is:

98577 = 34 × 12171

Now multiplying the highest exponent prime factors to calculate the LCM of 98558 and 98577.

LCM(98558,98577) = 21 × 492791 × 34 × 12171
LCM(98558,98577) = 9715551966