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What is the Least Common Multiple of 8737 and 8755?

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 8737 and 8755 is 76492435.

LCM(8737,8755) = 76492435

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Least Common Multiple of 8737 and 8755 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8737 and 8755, than apply into the LCM equation.

GCF(8737,8755) = 1
LCM(8737,8755) = ( 8737 × 8755) / 1
LCM(8737,8755) = 76492435 / 1
LCM(8737,8755) = 76492435

Least Common Multiple (LCM) of 8737 and 8755 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8737 and 8755. First we will calculate the prime factors of 8737 and 8755.

Prime Factorization of 8737

Prime factors of 8737 are 8737. Prime factorization of 8737 in exponential form is:

8737 = 87371

Prime Factorization of 8755

Prime factors of 8755 are 5, 17, 103. Prime factorization of 8755 in exponential form is:

8755 = 51 × 171 × 1031

Now multiplying the highest exponent prime factors to calculate the LCM of 8737 and 8755.

LCM(8737,8755) = 87371 × 51 × 171 × 1031
LCM(8737,8755) = 76492435