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What is the Least Common Multiple of 28499 and 28514?

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 28499 and 28514 is 812620486.

LCM(28499,28514) = 812620486

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Least Common Multiple of 28499 and 28514 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28499 and 28514, than apply into the LCM equation.

GCF(28499,28514) = 1
LCM(28499,28514) = ( 28499 × 28514) / 1
LCM(28499,28514) = 812620486 / 1
LCM(28499,28514) = 812620486

Least Common Multiple (LCM) of 28499 and 28514 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28499 and 28514. First we will calculate the prime factors of 28499 and 28514.

Prime Factorization of 28499

Prime factors of 28499 are 28499. Prime factorization of 28499 in exponential form is:

28499 = 284991

Prime Factorization of 28514

Prime factors of 28514 are 2, 53, 269. Prime factorization of 28514 in exponential form is:

28514 = 21 × 531 × 2691

Now multiplying the highest exponent prime factors to calculate the LCM of 28499 and 28514.

LCM(28499,28514) = 284991 × 21 × 531 × 2691
LCM(28499,28514) = 812620486