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What is the Least Common Multiple of 28405 and 28411?

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 28405 and 28411 is 807014455.

LCM(28405,28411) = 807014455

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Least Common Multiple of 28405 and 28411 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28405 and 28411, than apply into the LCM equation.

GCF(28405,28411) = 1
LCM(28405,28411) = ( 28405 × 28411) / 1
LCM(28405,28411) = 807014455 / 1
LCM(28405,28411) = 807014455

Least Common Multiple (LCM) of 28405 and 28411 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28405 and 28411. First we will calculate the prime factors of 28405 and 28411.

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

Prime Factorization of 28411

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

28411 = 284111

Now multiplying the highest exponent prime factors to calculate the LCM of 28405 and 28411.

LCM(28405,28411) = 51 × 131 × 191 × 231 × 284111
LCM(28405,28411) = 807014455