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What is the Least Common Multiple of 28392 and 28405?

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 28392 and 28405 is 62036520.

LCM(28392,28405) = 62036520

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Least Common Multiple of 28392 and 28405 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28392 and 28405, than apply into the LCM equation.

GCF(28392,28405) = 13
LCM(28392,28405) = ( 28392 × 28405) / 13
LCM(28392,28405) = 806474760 / 13
LCM(28392,28405) = 62036520

Least Common Multiple (LCM) of 28392 and 28405 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28392 and 28405. First we will calculate the prime factors of 28392 and 28405.

Prime Factorization of 28392

Prime factors of 28392 are 2, 3, 7, 13. Prime factorization of 28392 in exponential form is:

28392 = 23 × 31 × 71 × 132

Prime Factorization of 28405

Prime factors of 28405 are 5, 13, 19, 23. Prime factorization of 28405 in exponential form is:

28405 = 51 × 131 × 191 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 28392 and 28405.

LCM(28392,28405) = 23 × 31 × 71 × 132 × 51 × 191 × 231
LCM(28392,28405) = 62036520