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What is the Least Common Multiple of 28927 and 28934?

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 28927 and 28934 is 836973818.

LCM(28927,28934) = 836973818

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Least Common Multiple of 28927 and 28934 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28927 and 28934, than apply into the LCM equation.

GCF(28927,28934) = 1
LCM(28927,28934) = ( 28927 × 28934) / 1
LCM(28927,28934) = 836973818 / 1
LCM(28927,28934) = 836973818

Least Common Multiple (LCM) of 28927 and 28934 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28927 and 28934. First we will calculate the prime factors of 28927 and 28934.

Prime Factorization of 28927

Prime factors of 28927 are 28927. Prime factorization of 28927 in exponential form is:

28927 = 289271

Prime Factorization of 28934

Prime factors of 28934 are 2, 17, 23, 37. Prime factorization of 28934 in exponential form is:

28934 = 21 × 171 × 231 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 28927 and 28934.

LCM(28927,28934) = 289271 × 21 × 171 × 231 × 371
LCM(28927,28934) = 836973818