What is the Least Common Multiple of 51797 and 51803?
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 51797 and 51803 is 2683239991.
LCM(51797,51803) = 2683239991
Least Common Multiple of 51797 and 51803 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51797 and 51803, than apply into the LCM equation.
GCF(51797,51803) = 1
LCM(51797,51803) = ( 51797 × 51803) / 1
LCM(51797,51803) = 2683239991 / 1
LCM(51797,51803) = 2683239991
Least Common Multiple (LCM) of 51797 and 51803 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 51797 and 51803. First we will calculate the prime factors of 51797 and 51803.
Prime Factorization of 51797
Prime factors of 51797 are 51797. Prime factorization of 51797 in exponential form is:
51797 = 517971
Prime Factorization of 51803
Prime factors of 51803 are 51803. Prime factorization of 51803 in exponential form is:
51803 = 518031
Now multiplying the highest exponent prime factors to calculate the LCM of 51797 and 51803.
LCM(51797,51803) = 517971 × 518031
LCM(51797,51803) = 2683239991
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