What is the Least Common Multiple of 88787 and 88796?
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 88787 and 88796 is 7883930452.
LCM(88787,88796) = 7883930452
Least Common Multiple of 88787 and 88796 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88787 and 88796, than apply into the LCM equation.
GCF(88787,88796) = 1
LCM(88787,88796) = ( 88787 × 88796) / 1
LCM(88787,88796) = 7883930452 / 1
LCM(88787,88796) = 7883930452
Least Common Multiple (LCM) of 88787 and 88796 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 88787 and 88796. First we will calculate the prime factors of 88787 and 88796.
Prime Factorization of 88787
Prime factors of 88787 are 19, 4673. Prime factorization of 88787 in exponential form is:
88787 = 191 × 46731
Prime Factorization of 88796
Prime factors of 88796 are 2, 79, 281. Prime factorization of 88796 in exponential form is:
88796 = 22 × 791 × 2811
Now multiplying the highest exponent prime factors to calculate the LCM of 88787 and 88796.
LCM(88787,88796) = 191 × 46731 × 22 × 791 × 2811
LCM(88787,88796) = 7883930452
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