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What is the Least Common Multiple of 28298 and 28307?

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 28298 and 28307 is 801031486.

LCM(28298,28307) = 801031486

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Least Common Multiple of 28298 and 28307 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28298 and 28307, than apply into the LCM equation.

GCF(28298,28307) = 1
LCM(28298,28307) = ( 28298 × 28307) / 1
LCM(28298,28307) = 801031486 / 1
LCM(28298,28307) = 801031486

Least Common Multiple (LCM) of 28298 and 28307 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28298 and 28307. First we will calculate the prime factors of 28298 and 28307.

Prime Factorization of 28298

Prime factors of 28298 are 2, 14149. Prime factorization of 28298 in exponential form is:

28298 = 21 × 141491

Prime Factorization of 28307

Prime factors of 28307 are 28307. Prime factorization of 28307 in exponential form is:

28307 = 283071

Now multiplying the highest exponent prime factors to calculate the LCM of 28298 and 28307.

LCM(28298,28307) = 21 × 141491 × 283071
LCM(28298,28307) = 801031486