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What is the Least Common Multiple of 88387 and 88395?

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 88387 and 88395 is 7812968865.

LCM(88387,88395) = 7812968865

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Least Common Multiple of 88387 and 88395 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88387 and 88395, than apply into the LCM equation.

GCF(88387,88395) = 1
LCM(88387,88395) = ( 88387 × 88395) / 1
LCM(88387,88395) = 7812968865 / 1
LCM(88387,88395) = 7812968865

Least Common Multiple (LCM) of 88387 and 88395 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88387 and 88395. First we will calculate the prime factors of 88387 and 88395.

Prime Factorization of 88387

Prime factors of 88387 are 13, 523. Prime factorization of 88387 in exponential form is:

88387 = 132 × 5231

Prime Factorization of 88395

Prime factors of 88395 are 3, 5, 71, 83. Prime factorization of 88395 in exponential form is:

88395 = 31 × 51 × 711 × 831

Now multiplying the highest exponent prime factors to calculate the LCM of 88387 and 88395.

LCM(88387,88395) = 132 × 5231 × 31 × 51 × 711 × 831
LCM(88387,88395) = 7812968865