What is the Least Common Multiple of 56818 and 56831?
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 56818 and 56831 is 3229023758.
LCM(56818,56831) = 3229023758
Least Common Multiple of 56818 and 56831 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56818 and 56831, than apply into the LCM equation.
GCF(56818,56831) = 1
LCM(56818,56831) = ( 56818 × 56831) / 1
LCM(56818,56831) = 3229023758 / 1
LCM(56818,56831) = 3229023758
Least Common Multiple (LCM) of 56818 and 56831 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 56818 and 56831. First we will calculate the prime factors of 56818 and 56831.
Prime Factorization of 56818
Prime factors of 56818 are 2, 28409. Prime factorization of 56818 in exponential form is:
56818 = 21 × 284091
Prime Factorization of 56831
Prime factors of 56831 are 17, 3343. Prime factorization of 56831 in exponential form is:
56831 = 171 × 33431
Now multiplying the highest exponent prime factors to calculate the LCM of 56818 and 56831.
LCM(56818,56831) = 21 × 284091 × 171 × 33431
LCM(56818,56831) = 3229023758
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