What is the Least Common Multiple of 53818 and 53831?
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 53818 and 53831 is 2897076758.
LCM(53818,53831) = 2897076758
Least Common Multiple of 53818 and 53831 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53818 and 53831, than apply into the LCM equation.
GCF(53818,53831) = 1
LCM(53818,53831) = ( 53818 × 53831) / 1
LCM(53818,53831) = 2897076758 / 1
LCM(53818,53831) = 2897076758
Least Common Multiple (LCM) of 53818 and 53831 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 53818 and 53831. First we will calculate the prime factors of 53818 and 53831.
Prime Factorization of 53818
Prime factors of 53818 are 2, 71, 379. Prime factorization of 53818 in exponential form is:
53818 = 21 × 711 × 3791
Prime Factorization of 53831
Prime factors of 53831 are 53831. Prime factorization of 53831 in exponential form is:
53831 = 538311
Now multiplying the highest exponent prime factors to calculate the LCM of 53818 and 53831.
LCM(53818,53831) = 21 × 711 × 3791 × 538311
LCM(53818,53831) = 2897076758
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