What is the Least Common Multiple of 8798 and 8812?
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 8798 and 8812 is 38763988.
LCM(8798,8812) = 38763988
Least Common Multiple of 8798 and 8812 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8798 and 8812, than apply into the LCM equation.
GCF(8798,8812) = 2
LCM(8798,8812) = ( 8798 × 8812) / 2
LCM(8798,8812) = 77527976 / 2
LCM(8798,8812) = 38763988
Least Common Multiple (LCM) of 8798 and 8812 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8798 and 8812. First we will calculate the prime factors of 8798 and 8812.
Prime Factorization of 8798
Prime factors of 8798 are 2, 53, 83. Prime factorization of 8798 in exponential form is:
8798 = 21 × 531 × 831
Prime Factorization of 8812
Prime factors of 8812 are 2, 2203. Prime factorization of 8812 in exponential form is:
8812 = 22 × 22031
Now multiplying the highest exponent prime factors to calculate the LCM of 8798 and 8812.
LCM(8798,8812) = 22 × 531 × 831 × 22031
LCM(8798,8812) = 38763988
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