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What is the Least Common Multiple of 70855 and 70868?

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 70855 and 70868 is 5021352140.

LCM(70855,70868) = 5021352140

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Least Common Multiple of 70855 and 70868 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70855 and 70868, than apply into the LCM equation.

GCF(70855,70868) = 1
LCM(70855,70868) = ( 70855 × 70868) / 1
LCM(70855,70868) = 5021352140 / 1
LCM(70855,70868) = 5021352140

Least Common Multiple (LCM) of 70855 and 70868 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70855 and 70868. First we will calculate the prime factors of 70855 and 70868.

Prime Factorization of 70855

Prime factors of 70855 are 5, 37, 383. Prime factorization of 70855 in exponential form is:

70855 = 51 × 371 × 3831

Prime Factorization of 70868

Prime factors of 70868 are 2, 7, 2531. Prime factorization of 70868 in exponential form is:

70868 = 22 × 71 × 25311

Now multiplying the highest exponent prime factors to calculate the LCM of 70855 and 70868.

LCM(70855,70868) = 51 × 371 × 3831 × 22 × 71 × 25311
LCM(70855,70868) = 5021352140