What is the Least Common Multiple of 56897 and 56902?
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 56897 and 56902 is 3237553094.
LCM(56897,56902) = 3237553094
Least Common Multiple of 56897 and 56902 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56897 and 56902, than apply into the LCM equation.
GCF(56897,56902) = 1
LCM(56897,56902) = ( 56897 × 56902) / 1
LCM(56897,56902) = 3237553094 / 1
LCM(56897,56902) = 3237553094
Least Common Multiple (LCM) of 56897 and 56902 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 56897 and 56902. First we will calculate the prime factors of 56897 and 56902.
Prime Factorization of 56897
Prime factors of 56897 are 56897. Prime factorization of 56897 in exponential form is:
56897 = 568971
Prime Factorization of 56902
Prime factors of 56902 are 2, 23, 1237. Prime factorization of 56902 in exponential form is:
56902 = 21 × 231 × 12371
Now multiplying the highest exponent prime factors to calculate the LCM of 56897 and 56902.
LCM(56897,56902) = 568971 × 21 × 231 × 12371
LCM(56897,56902) = 3237553094
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