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What is the Least Common Multiple of 86917 and 86934?

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 86917 and 86934 is 7556042478.

LCM(86917,86934) = 7556042478

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Least Common Multiple of 86917 and 86934 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86917 and 86934, than apply into the LCM equation.

GCF(86917,86934) = 1
LCM(86917,86934) = ( 86917 × 86934) / 1
LCM(86917,86934) = 7556042478 / 1
LCM(86917,86934) = 7556042478

Least Common Multiple (LCM) of 86917 and 86934 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86917 and 86934. First we will calculate the prime factors of 86917 and 86934.

Prime Factorization of 86917

Prime factors of 86917 are 23, 3779. Prime factorization of 86917 in exponential form is:

86917 = 231 × 37791

Prime Factorization of 86934

Prime factors of 86934 are 2, 3, 14489. Prime factorization of 86934 in exponential form is:

86934 = 21 × 31 × 144891

Now multiplying the highest exponent prime factors to calculate the LCM of 86917 and 86934.

LCM(86917,86934) = 231 × 37791 × 21 × 31 × 144891
LCM(86917,86934) = 7556042478