What is the Least Common Multiple of 8812 and 8817?
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 8812 and 8817 is 77695404.
LCM(8812,8817) = 77695404
Least Common Multiple of 8812 and 8817 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8812 and 8817, than apply into the LCM equation.
GCF(8812,8817) = 1
LCM(8812,8817) = ( 8812 × 8817) / 1
LCM(8812,8817) = 77695404 / 1
LCM(8812,8817) = 77695404
Least Common Multiple (LCM) of 8812 and 8817 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8812 and 8817. First we will calculate the prime factors of 8812 and 8817.
Prime Factorization of 8812
Prime factors of 8812 are 2, 2203. Prime factorization of 8812 in exponential form is:
8812 = 22 × 22031
Prime Factorization of 8817
Prime factors of 8817 are 3, 2939. Prime factorization of 8817 in exponential form is:
8817 = 31 × 29391
Now multiplying the highest exponent prime factors to calculate the LCM of 8812 and 8817.
LCM(8812,8817) = 22 × 22031 × 31 × 29391
LCM(8812,8817) = 77695404
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