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What is the Least Common Multiple of 87718 and 87726?

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 87718 and 87726 is 3847574634.

LCM(87718,87726) = 3847574634

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Least Common Multiple of 87718 and 87726 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87718 and 87726, than apply into the LCM equation.

GCF(87718,87726) = 2
LCM(87718,87726) = ( 87718 × 87726) / 2
LCM(87718,87726) = 7695149268 / 2
LCM(87718,87726) = 3847574634

Least Common Multiple (LCM) of 87718 and 87726 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87718 and 87726. First we will calculate the prime factors of 87718 and 87726.

Prime Factorization of 87718

Prime factors of 87718 are 2, 61, 719. Prime factorization of 87718 in exponential form is:

87718 = 21 × 611 × 7191

Prime Factorization of 87726

Prime factors of 87726 are 2, 3, 14621. Prime factorization of 87726 in exponential form is:

87726 = 21 × 31 × 146211

Now multiplying the highest exponent prime factors to calculate the LCM of 87718 and 87726.

LCM(87718,87726) = 21 × 611 × 7191 × 31 × 146211
LCM(87718,87726) = 3847574634