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What is the Least Common Multiple of 88391 and 88406?

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 88391 and 88406 is 7814294746.

LCM(88391,88406) = 7814294746

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Least Common Multiple of 88391 and 88406 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88391 and 88406, than apply into the LCM equation.

GCF(88391,88406) = 1
LCM(88391,88406) = ( 88391 × 88406) / 1
LCM(88391,88406) = 7814294746 / 1
LCM(88391,88406) = 7814294746

Least Common Multiple (LCM) of 88391 and 88406 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88391 and 88406. First we will calculate the prime factors of 88391 and 88406.

Prime Factorization of 88391

Prime factors of 88391 are 157, 563. Prime factorization of 88391 in exponential form is:

88391 = 1571 × 5631

Prime Factorization of 88406

Prime factors of 88406 are 2, 44203. Prime factorization of 88406 in exponential form is:

88406 = 21 × 442031

Now multiplying the highest exponent prime factors to calculate the LCM of 88391 and 88406.

LCM(88391,88406) = 1571 × 5631 × 21 × 442031
LCM(88391,88406) = 7814294746