What is the Least Common Multiple of 87797 and 87811?
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 87797 and 87811 is 7709542367.
LCM(87797,87811) = 7709542367
Least Common Multiple of 87797 and 87811 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87797 and 87811, than apply into the LCM equation.
GCF(87797,87811) = 1
LCM(87797,87811) = ( 87797 × 87811) / 1
LCM(87797,87811) = 7709542367 / 1
LCM(87797,87811) = 7709542367
Least Common Multiple (LCM) of 87797 and 87811 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 87797 and 87811. First we will calculate the prime factors of 87797 and 87811.
Prime Factorization of 87797
Prime factors of 87797 are 87797. Prime factorization of 87797 in exponential form is:
87797 = 877971
Prime Factorization of 87811
Prime factors of 87811 are 87811. Prime factorization of 87811 in exponential form is:
87811 = 878111
Now multiplying the highest exponent prime factors to calculate the LCM of 87797 and 87811.
LCM(87797,87811) = 877971 × 878111
LCM(87797,87811) = 7709542367
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