What is the Least Common Multiple of 8771 and 8790?
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 8771 and 8790 is 77097090.
LCM(8771,8790) = 77097090
Least Common Multiple of 8771 and 8790 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8771 and 8790, than apply into the LCM equation.
GCF(8771,8790) = 1
LCM(8771,8790) = ( 8771 × 8790) / 1
LCM(8771,8790) = 77097090 / 1
LCM(8771,8790) = 77097090
Least Common Multiple (LCM) of 8771 and 8790 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8771 and 8790. First we will calculate the prime factors of 8771 and 8790.
Prime Factorization of 8771
Prime factors of 8771 are 7, 179. Prime factorization of 8771 in exponential form is:
8771 = 72 × 1791
Prime Factorization of 8790
Prime factors of 8790 are 2, 3, 5, 293. Prime factorization of 8790 in exponential form is:
8790 = 21 × 31 × 51 × 2931
Now multiplying the highest exponent prime factors to calculate the LCM of 8771 and 8790.
LCM(8771,8790) = 72 × 1791 × 21 × 31 × 51 × 2931
LCM(8771,8790) = 77097090
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