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What is the Least Common Multiple of 98251 and 98267?

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 98251 and 98267 is 9654831017.

LCM(98251,98267) = 9654831017

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Least Common Multiple of 98251 and 98267 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98251 and 98267, than apply into the LCM equation.

GCF(98251,98267) = 1
LCM(98251,98267) = ( 98251 × 98267) / 1
LCM(98251,98267) = 9654831017 / 1
LCM(98251,98267) = 9654831017

Least Common Multiple (LCM) of 98251 and 98267 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98251 and 98267. First we will calculate the prime factors of 98251 and 98267.

Prime Factorization of 98251

Prime factors of 98251 are 98251. Prime factorization of 98251 in exponential form is:

98251 = 982511

Prime Factorization of 98267

Prime factors of 98267 are 13, 7559. Prime factorization of 98267 in exponential form is:

98267 = 131 × 75591

Now multiplying the highest exponent prime factors to calculate the LCM of 98251 and 98267.

LCM(98251,98267) = 982511 × 131 × 75591
LCM(98251,98267) = 9654831017