What is the Least Common Multiple of 2389 and 2393?
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 2389 and 2393 is 5716877.
LCM(2389,2393) = 5716877
Least Common Multiple of 2389 and 2393 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2389 and 2393, than apply into the LCM equation.
GCF(2389,2393) = 1
LCM(2389,2393) = ( 2389 × 2393) / 1
LCM(2389,2393) = 5716877 / 1
LCM(2389,2393) = 5716877
Least Common Multiple (LCM) of 2389 and 2393 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 2389 and 2393. First we will calculate the prime factors of 2389 and 2393.
Prime Factorization of 2389
Prime factors of 2389 are 2389. Prime factorization of 2389 in exponential form is:
2389 = 23891
Prime Factorization of 2393
Prime factors of 2393 are 2393. Prime factorization of 2393 in exponential form is:
2393 = 23931
Now multiplying the highest exponent prime factors to calculate the LCM of 2389 and 2393.
LCM(2389,2393) = 23891 × 23931
LCM(2389,2393) = 5716877
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