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What is the Least Common Multiple of 28457 and 28463?

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 28457 and 28463 is 809971591.

LCM(28457,28463) = 809971591

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Least Common Multiple of 28457 and 28463 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28457 and 28463, than apply into the LCM equation.

GCF(28457,28463) = 1
LCM(28457,28463) = ( 28457 × 28463) / 1
LCM(28457,28463) = 809971591 / 1
LCM(28457,28463) = 809971591

Least Common Multiple (LCM) of 28457 and 28463 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28457 and 28463. First we will calculate the prime factors of 28457 and 28463.

Prime Factorization of 28457

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

28457 = 111 × 131 × 1991

Prime Factorization of 28463

Prime factors of 28463 are 28463. Prime factorization of 28463 in exponential form is:

28463 = 284631

Now multiplying the highest exponent prime factors to calculate the LCM of 28457 and 28463.

LCM(28457,28463) = 111 × 131 × 1991 × 284631
LCM(28457,28463) = 809971591