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What is the Least Common Multiple of 8749 and 8756?

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 8749 and 8756 is 76606244.

LCM(8749,8756) = 76606244

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Least Common Multiple of 8749 and 8756 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8749 and 8756, than apply into the LCM equation.

GCF(8749,8756) = 1
LCM(8749,8756) = ( 8749 × 8756) / 1
LCM(8749,8756) = 76606244 / 1
LCM(8749,8756) = 76606244

Least Common Multiple (LCM) of 8749 and 8756 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8749 and 8756. First we will calculate the prime factors of 8749 and 8756.

Prime Factorization of 8749

Prime factors of 8749 are 13, 673. Prime factorization of 8749 in exponential form is:

8749 = 131 × 6731

Prime Factorization of 8756

Prime factors of 8756 are 2, 11, 199. Prime factorization of 8756 in exponential form is:

8756 = 22 × 111 × 1991

Now multiplying the highest exponent prime factors to calculate the LCM of 8749 and 8756.

LCM(8749,8756) = 131 × 6731 × 22 × 111 × 1991
LCM(8749,8756) = 76606244