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What is the Least Common Multiple of 8735 and 8741?

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 8735 and 8741 is 76352635.

LCM(8735,8741) = 76352635

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Least Common Multiple of 8735 and 8741 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8735 and 8741, than apply into the LCM equation.

GCF(8735,8741) = 1
LCM(8735,8741) = ( 8735 × 8741) / 1
LCM(8735,8741) = 76352635 / 1
LCM(8735,8741) = 76352635

Least Common Multiple (LCM) of 8735 and 8741 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8735 and 8741. First we will calculate the prime factors of 8735 and 8741.

Prime Factorization of 8735

Prime factors of 8735 are 5, 1747. Prime factorization of 8735 in exponential form is:

8735 = 51 × 17471

Prime Factorization of 8741

Prime factors of 8741 are 8741. Prime factorization of 8741 in exponential form is:

8741 = 87411

Now multiplying the highest exponent prime factors to calculate the LCM of 8735 and 8741.

LCM(8735,8741) = 51 × 17471 × 87411
LCM(8735,8741) = 76352635