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What is the Least Common Multiple of 28449 and 28468?

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 28449 and 28468 is 809886132.

LCM(28449,28468) = 809886132

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Least Common Multiple of 28449 and 28468 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28449 and 28468, than apply into the LCM equation.

GCF(28449,28468) = 1
LCM(28449,28468) = ( 28449 × 28468) / 1
LCM(28449,28468) = 809886132 / 1
LCM(28449,28468) = 809886132

Least Common Multiple (LCM) of 28449 and 28468 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28449 and 28468. First we will calculate the prime factors of 28449 and 28468.

Prime Factorization of 28449

Prime factors of 28449 are 3, 29, 109. Prime factorization of 28449 in exponential form is:

28449 = 32 × 291 × 1091

Prime Factorization of 28468

Prime factors of 28468 are 2, 11, 647. Prime factorization of 28468 in exponential form is:

28468 = 22 × 111 × 6471

Now multiplying the highest exponent prime factors to calculate the LCM of 28449 and 28468.

LCM(28449,28468) = 32 × 291 × 1091 × 22 × 111 × 6471
LCM(28449,28468) = 809886132