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What is the Least Common Multiple of 87427 and 87443?

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 87443 is 7644879161.

LCM(87427,87443) = 7644879161

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Least Common Multiple of 87427 and 87443 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 87443, than apply into the LCM equation.

GCF(87427,87443) = 1
LCM(87427,87443) = ( 87427 × 87443) / 1
LCM(87427,87443) = 7644879161 / 1
LCM(87427,87443) = 7644879161

Least Common Multiple (LCM) of 87427 and 87443 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87427 and 87443. First we will calculate the prime factors of 87427 and 87443.

Prime Factorization of 87427

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

87427 = 874271

Prime Factorization of 87443

Prime factors of 87443 are 87443. Prime factorization of 87443 in exponential form is:

87443 = 874431

Now multiplying the highest exponent prime factors to calculate the LCM of 87427 and 87443.

LCM(87427,87443) = 874271 × 874431
LCM(87427,87443) = 7644879161