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What is the Least Common Multiple of 28411 and 28431?

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 28411 and 28431 is 807753141.

LCM(28411,28431) = 807753141

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Least Common Multiple of 28411 and 28431 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28411 and 28431, than apply into the LCM equation.

GCF(28411,28431) = 1
LCM(28411,28431) = ( 28411 × 28431) / 1
LCM(28411,28431) = 807753141 / 1
LCM(28411,28431) = 807753141

Least Common Multiple (LCM) of 28411 and 28431 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28411 and 28431. First we will calculate the prime factors of 28411 and 28431.

Prime Factorization of 28411

Prime factors of 28411 are 28411. Prime factorization of 28411 in exponential form is:

28411 = 284111

Prime Factorization of 28431

Prime factors of 28431 are 3, 13. Prime factorization of 28431 in exponential form is:

28431 = 37 × 131

Now multiplying the highest exponent prime factors to calculate the LCM of 28411 and 28431.

LCM(28411,28431) = 284111 × 37 × 131
LCM(28411,28431) = 807753141