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What is the Least Common Multiple of 28475 and 28493?

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 28475 and 28493 is 811338175.

LCM(28475,28493) = 811338175

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Least Common Multiple of 28475 and 28493 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28475 and 28493, than apply into the LCM equation.

GCF(28475,28493) = 1
LCM(28475,28493) = ( 28475 × 28493) / 1
LCM(28475,28493) = 811338175 / 1
LCM(28475,28493) = 811338175

Least Common Multiple (LCM) of 28475 and 28493 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28475 and 28493. First we will calculate the prime factors of 28475 and 28493.

Prime Factorization of 28475

Prime factors of 28475 are 5, 17, 67. Prime factorization of 28475 in exponential form is:

28475 = 52 × 171 × 671

Prime Factorization of 28493

Prime factors of 28493 are 28493. Prime factorization of 28493 in exponential form is:

28493 = 284931

Now multiplying the highest exponent prime factors to calculate the LCM of 28475 and 28493.

LCM(28475,28493) = 52 × 171 × 671 × 284931
LCM(28475,28493) = 811338175