What is the Least Common Multiple of 69847 and 69851?
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 69847 and 69851 is 4878882797.
LCM(69847,69851) = 4878882797
Least Common Multiple of 69847 and 69851 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69847 and 69851, than apply into the LCM equation.
GCF(69847,69851) = 1
LCM(69847,69851) = ( 69847 × 69851) / 1
LCM(69847,69851) = 4878882797 / 1
LCM(69847,69851) = 4878882797
Least Common Multiple (LCM) of 69847 and 69851 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 69847 and 69851. First we will calculate the prime factors of 69847 and 69851.
Prime Factorization of 69847
Prime factors of 69847 are 69847. Prime factorization of 69847 in exponential form is:
69847 = 698471
Prime Factorization of 69851
Prime factors of 69851 are 23, 3037. Prime factorization of 69851 in exponential form is:
69851 = 231 × 30371
Now multiplying the highest exponent prime factors to calculate the LCM of 69847 and 69851.
LCM(69847,69851) = 698471 × 231 × 30371
LCM(69847,69851) = 4878882797
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