What is the Least Common Multiple of 93787 and 93804?
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 93787 and 93804 is 8797595748.
LCM(93787,93804) = 8797595748
Least Common Multiple of 93787 and 93804 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93787 and 93804, than apply into the LCM equation.
GCF(93787,93804) = 1
LCM(93787,93804) = ( 93787 × 93804) / 1
LCM(93787,93804) = 8797595748 / 1
LCM(93787,93804) = 8797595748
Least Common Multiple (LCM) of 93787 and 93804 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93787 and 93804. First we will calculate the prime factors of 93787 and 93804.
Prime Factorization of 93787
Prime factors of 93787 are 93787. Prime factorization of 93787 in exponential form is:
93787 = 937871
Prime Factorization of 93804
Prime factors of 93804 are 2, 3, 7817. Prime factorization of 93804 in exponential form is:
93804 = 22 × 31 × 78171
Now multiplying the highest exponent prime factors to calculate the LCM of 93787 and 93804.
LCM(93787,93804) = 937871 × 22 × 31 × 78171
LCM(93787,93804) = 8797595748
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