What is the Least Common Multiple of 56193 and 56201?
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 56193 and 56201 is 3158102793.
LCM(56193,56201) = 3158102793
Least Common Multiple of 56193 and 56201 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56193 and 56201, than apply into the LCM equation.
GCF(56193,56201) = 1
LCM(56193,56201) = ( 56193 × 56201) / 1
LCM(56193,56201) = 3158102793 / 1
LCM(56193,56201) = 3158102793
Least Common Multiple (LCM) of 56193 and 56201 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 56193 and 56201. First we will calculate the prime factors of 56193 and 56201.
Prime Factorization of 56193
Prime factors of 56193 are 3, 18731. Prime factorization of 56193 in exponential form is:
56193 = 31 × 187311
Prime Factorization of 56201
Prime factors of 56201 are 43, 1307. Prime factorization of 56201 in exponential form is:
56201 = 431 × 13071
Now multiplying the highest exponent prime factors to calculate the LCM of 56193 and 56201.
LCM(56193,56201) = 31 × 187311 × 431 × 13071
LCM(56193,56201) = 3158102793
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