What is the Least Common Multiple of 52183 and 52201?
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 52183 and 52201 is 2724004783.
LCM(52183,52201) = 2724004783
Least Common Multiple of 52183 and 52201 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52183 and 52201, than apply into the LCM equation.
GCF(52183,52201) = 1
LCM(52183,52201) = ( 52183 × 52201) / 1
LCM(52183,52201) = 2724004783 / 1
LCM(52183,52201) = 2724004783
Least Common Multiple (LCM) of 52183 and 52201 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 52183 and 52201. First we will calculate the prime factors of 52183 and 52201.
Prime Factorization of 52183
Prime factors of 52183 are 52183. Prime factorization of 52183 in exponential form is:
52183 = 521831
Prime Factorization of 52201
Prime factors of 52201 are 52201. Prime factorization of 52201 in exponential form is:
52201 = 522011
Now multiplying the highest exponent prime factors to calculate the LCM of 52183 and 52201.
LCM(52183,52201) = 521831 × 522011
LCM(52183,52201) = 2724004783
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