What is the Least Common Multiple of 53765 and 53771?
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 53765 and 53771 is 2890997815.
LCM(53765,53771) = 2890997815
Least Common Multiple of 53765 and 53771 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53765 and 53771, than apply into the LCM equation.
GCF(53765,53771) = 1
LCM(53765,53771) = ( 53765 × 53771) / 1
LCM(53765,53771) = 2890997815 / 1
LCM(53765,53771) = 2890997815
Least Common Multiple (LCM) of 53765 and 53771 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 53765 and 53771. First we will calculate the prime factors of 53765 and 53771.
Prime Factorization of 53765
Prime factors of 53765 are 5, 10753. Prime factorization of 53765 in exponential form is:
53765 = 51 × 107531
Prime Factorization of 53771
Prime factors of 53771 are 17, 3163. Prime factorization of 53771 in exponential form is:
53771 = 171 × 31631
Now multiplying the highest exponent prime factors to calculate the LCM of 53765 and 53771.
LCM(53765,53771) = 51 × 107531 × 171 × 31631
LCM(53765,53771) = 2890997815
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