What is the Least Common Multiple of 56259 and 56279?
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 56259 and 56279 is 3166200261.
LCM(56259,56279) = 3166200261
Least Common Multiple of 56259 and 56279 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56259 and 56279, than apply into the LCM equation.
GCF(56259,56279) = 1
LCM(56259,56279) = ( 56259 × 56279) / 1
LCM(56259,56279) = 3166200261 / 1
LCM(56259,56279) = 3166200261
Least Common Multiple (LCM) of 56259 and 56279 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 56259 and 56279. First we will calculate the prime factors of 56259 and 56279.
Prime Factorization of 56259
Prime factors of 56259 are 3, 7, 19, 47. Prime factorization of 56259 in exponential form is:
56259 = 32 × 71 × 191 × 471
Prime Factorization of 56279
Prime factors of 56279 are 167, 337. Prime factorization of 56279 in exponential form is:
56279 = 1671 × 3371
Now multiplying the highest exponent prime factors to calculate the LCM of 56259 and 56279.
LCM(56259,56279) = 32 × 71 × 191 × 471 × 1671 × 3371
LCM(56259,56279) = 3166200261
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