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What is the Least Common Multiple of 28510 and 28519?

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 28510 and 28519 is 813076690.

LCM(28510,28519) = 813076690

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Least Common Multiple of 28510 and 28519 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28510 and 28519, than apply into the LCM equation.

GCF(28510,28519) = 1
LCM(28510,28519) = ( 28510 × 28519) / 1
LCM(28510,28519) = 813076690 / 1
LCM(28510,28519) = 813076690

Least Common Multiple (LCM) of 28510 and 28519 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28510 and 28519. First we will calculate the prime factors of 28510 and 28519.

Prime Factorization of 28510

Prime factors of 28510 are 2, 5, 2851. Prime factorization of 28510 in exponential form is:

28510 = 21 × 51 × 28511

Prime Factorization of 28519

Prime factors of 28519 are 19, 79. Prime factorization of 28519 in exponential form is:

28519 = 192 × 791

Now multiplying the highest exponent prime factors to calculate the LCM of 28510 and 28519.

LCM(28510,28519) = 21 × 51 × 28511 × 192 × 791
LCM(28510,28519) = 813076690