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What is the Least Common Multiple of 10279 and 10298?

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 10279 and 10298 is 5571218.

LCM(10279,10298) = 5571218

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Least Common Multiple of 10279 and 10298 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10279 and 10298, than apply into the LCM equation.

GCF(10279,10298) = 19
LCM(10279,10298) = ( 10279 × 10298) / 19
LCM(10279,10298) = 105853142 / 19
LCM(10279,10298) = 5571218

Least Common Multiple (LCM) of 10279 and 10298 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10279 and 10298. First we will calculate the prime factors of 10279 and 10298.

Prime Factorization of 10279

Prime factors of 10279 are 19, 541. Prime factorization of 10279 in exponential form is:

10279 = 191 × 5411

Prime Factorization of 10298

Prime factors of 10298 are 2, 19, 271. Prime factorization of 10298 in exponential form is:

10298 = 21 × 191 × 2711

Now multiplying the highest exponent prime factors to calculate the LCM of 10279 and 10298.

LCM(10279,10298) = 191 × 5411 × 21 × 2711
LCM(10279,10298) = 5571218