What is the Least Common Multiple of 53791 and 53797?
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 53791 and 53797 is 2893794427.
LCM(53791,53797) = 2893794427
Least Common Multiple of 53791 and 53797 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53791 and 53797, than apply into the LCM equation.
GCF(53791,53797) = 1
LCM(53791,53797) = ( 53791 × 53797) / 1
LCM(53791,53797) = 2893794427 / 1
LCM(53791,53797) = 2893794427
Least Common Multiple (LCM) of 53791 and 53797 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 53791 and 53797. First we will calculate the prime factors of 53791 and 53797.
Prime Factorization of 53791
Prime factors of 53791 are 53791. Prime factorization of 53791 in exponential form is:
53791 = 537911
Prime Factorization of 53797
Prime factors of 53797 are 23, 2339. Prime factorization of 53797 in exponential form is:
53797 = 231 × 23391
Now multiplying the highest exponent prime factors to calculate the LCM of 53791 and 53797.
LCM(53791,53797) = 537911 × 231 × 23391
LCM(53791,53797) = 2893794427
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