What is the Least Common Multiple of 8751 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 8751 and 8756 is 76623756.
LCM(8751,8756) = 76623756
Least Common Multiple of 8751 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 8751 and 8756, than apply into the LCM equation.
GCF(8751,8756) = 1
LCM(8751,8756) = ( 8751 × 8756) / 1
LCM(8751,8756) = 76623756 / 1
LCM(8751,8756) = 76623756
Least Common Multiple (LCM) of 8751 and 8756 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8751 and 8756. First we will calculate the prime factors of 8751 and 8756.
Prime Factorization of 8751
Prime factors of 8751 are 3, 2917. Prime factorization of 8751 in exponential form is:
8751 = 31 × 29171
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 8751 and 8756.
LCM(8751,8756) = 31 × 29171 × 22 × 111 × 1991
LCM(8751,8756) = 76623756
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