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What is the Least Common Multiple of 98260 and 98273?

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 98260 and 98273 is 9656304980.

LCM(98260,98273) = 9656304980

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Least Common Multiple of 98260 and 98273 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98260 and 98273, than apply into the LCM equation.

GCF(98260,98273) = 1
LCM(98260,98273) = ( 98260 × 98273) / 1
LCM(98260,98273) = 9656304980 / 1
LCM(98260,98273) = 9656304980

Least Common Multiple (LCM) of 98260 and 98273 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98260 and 98273. First we will calculate the prime factors of 98260 and 98273.

Prime Factorization of 98260

Prime factors of 98260 are 2, 5, 17. Prime factorization of 98260 in exponential form is:

98260 = 22 × 51 × 173

Prime Factorization of 98273

Prime factors of 98273 are 7, 101, 139. Prime factorization of 98273 in exponential form is:

98273 = 71 × 1011 × 1391

Now multiplying the highest exponent prime factors to calculate the LCM of 98260 and 98273.

LCM(98260,98273) = 22 × 51 × 173 × 71 × 1011 × 1391
LCM(98260,98273) = 9656304980