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What is the Least Common Multiple of 28451 and 28456?

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 28451 and 28456 is 809601656.

LCM(28451,28456) = 809601656

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Least Common Multiple of 28451 and 28456 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28451 and 28456, than apply into the LCM equation.

GCF(28451,28456) = 1
LCM(28451,28456) = ( 28451 × 28456) / 1
LCM(28451,28456) = 809601656 / 1
LCM(28451,28456) = 809601656

Least Common Multiple (LCM) of 28451 and 28456 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28451 and 28456. First we will calculate the prime factors of 28451 and 28456.

Prime Factorization of 28451

Prime factors of 28451 are 23, 1237. Prime factorization of 28451 in exponential form is:

28451 = 231 × 12371

Prime Factorization of 28456

Prime factors of 28456 are 2, 3557. Prime factorization of 28456 in exponential form is:

28456 = 23 × 35571

Now multiplying the highest exponent prime factors to calculate the LCM of 28451 and 28456.

LCM(28451,28456) = 231 × 12371 × 23 × 35571
LCM(28451,28456) = 809601656