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What is the Least Common Multiple of 28391 and 28410?

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 28391 and 28410 is 806588310.

LCM(28391,28410) = 806588310

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Least Common Multiple of 28391 and 28410 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28391 and 28410, than apply into the LCM equation.

GCF(28391,28410) = 1
LCM(28391,28410) = ( 28391 × 28410) / 1
LCM(28391,28410) = 806588310 / 1
LCM(28391,28410) = 806588310

Least Common Multiple (LCM) of 28391 and 28410 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28391 and 28410. First we will calculate the prime factors of 28391 and 28410.

Prime Factorization of 28391

Prime factors of 28391 are 11, 29, 89. Prime factorization of 28391 in exponential form is:

28391 = 111 × 291 × 891

Prime Factorization of 28410

Prime factors of 28410 are 2, 3, 5, 947. Prime factorization of 28410 in exponential form is:

28410 = 21 × 31 × 51 × 9471

Now multiplying the highest exponent prime factors to calculate the LCM of 28391 and 28410.

LCM(28391,28410) = 111 × 291 × 891 × 21 × 31 × 51 × 9471
LCM(28391,28410) = 806588310