What is the Least Common Multiple of 8788 and 8794?
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 8788 and 8794 is 38640836.
LCM(8788,8794) = 38640836
Least Common Multiple of 8788 and 8794 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8788 and 8794, than apply into the LCM equation.
GCF(8788,8794) = 2
LCM(8788,8794) = ( 8788 × 8794) / 2
LCM(8788,8794) = 77281672 / 2
LCM(8788,8794) = 38640836
Least Common Multiple (LCM) of 8788 and 8794 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8788 and 8794. First we will calculate the prime factors of 8788 and 8794.
Prime Factorization of 8788
Prime factors of 8788 are 2, 13. Prime factorization of 8788 in exponential form is:
8788 = 22 × 133
Prime Factorization of 8794
Prime factors of 8794 are 2, 4397. Prime factorization of 8794 in exponential form is:
8794 = 21 × 43971
Now multiplying the highest exponent prime factors to calculate the LCM of 8788 and 8794.
LCM(8788,8794) = 22 × 133 × 43971
LCM(8788,8794) = 38640836
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