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What is the Least Common Multiple of 87427 and 87433?

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 87427 and 87433 is 7644004891.

LCM(87427,87433) = 7644004891

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Least Common Multiple of 87427 and 87433 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87427 and 87433, than apply into the LCM equation.

GCF(87427,87433) = 1
LCM(87427,87433) = ( 87427 × 87433) / 1
LCM(87427,87433) = 7644004891 / 1
LCM(87427,87433) = 7644004891

Least Common Multiple (LCM) of 87427 and 87433 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87427 and 87433. First we will calculate the prime factors of 87427 and 87433.

Prime Factorization of 87427

Prime factors of 87427 are 87427. Prime factorization of 87427 in exponential form is:

87427 = 874271

Prime Factorization of 87433

Prime factors of 87433 are 87433. Prime factorization of 87433 in exponential form is:

87433 = 874331

Now multiplying the highest exponent prime factors to calculate the LCM of 87427 and 87433.

LCM(87427,87433) = 874271 × 874331
LCM(87427,87433) = 7644004891