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What is the Least Common Multiple of 28437 and 28457?

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 28437 and 28457 is 809231709.

LCM(28437,28457) = 809231709

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Least Common Multiple of 28437 and 28457 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28437 and 28457, than apply into the LCM equation.

GCF(28437,28457) = 1
LCM(28437,28457) = ( 28437 × 28457) / 1
LCM(28437,28457) = 809231709 / 1
LCM(28437,28457) = 809231709

Least Common Multiple (LCM) of 28437 and 28457 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28437 and 28457. First we will calculate the prime factors of 28437 and 28457.

Prime Factorization of 28437

Prime factors of 28437 are 3, 9479. Prime factorization of 28437 in exponential form is:

28437 = 31 × 94791

Prime Factorization of 28457

Prime factors of 28457 are 11, 13, 199. Prime factorization of 28457 in exponential form is:

28457 = 111 × 131 × 1991

Now multiplying the highest exponent prime factors to calculate the LCM of 28437 and 28457.

LCM(28437,28457) = 31 × 94791 × 111 × 131 × 1991
LCM(28437,28457) = 809231709