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What is the Least Common Multiple of 28601 and 28614?

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 28601 and 28614 is 818389014.

LCM(28601,28614) = 818389014

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Least Common Multiple of 28601 and 28614 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28601 and 28614, than apply into the LCM equation.

GCF(28601,28614) = 1
LCM(28601,28614) = ( 28601 × 28614) / 1
LCM(28601,28614) = 818389014 / 1
LCM(28601,28614) = 818389014

Least Common Multiple (LCM) of 28601 and 28614 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28601 and 28614. First we will calculate the prime factors of 28601 and 28614.

Prime Factorization of 28601

Prime factors of 28601 are 37, 773. Prime factorization of 28601 in exponential form is:

28601 = 371 × 7731

Prime Factorization of 28614

Prime factors of 28614 are 2, 3, 19, 251. Prime factorization of 28614 in exponential form is:

28614 = 21 × 31 × 191 × 2511

Now multiplying the highest exponent prime factors to calculate the LCM of 28601 and 28614.

LCM(28601,28614) = 371 × 7731 × 21 × 31 × 191 × 2511
LCM(28601,28614) = 818389014