What is the Least Common Multiple of 42391 and 42403?
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 42391 and 42403 is 1797505573.
LCM(42391,42403) = 1797505573
Least Common Multiple of 42391 and 42403 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42391 and 42403, than apply into the LCM equation.
GCF(42391,42403) = 1
LCM(42391,42403) = ( 42391 × 42403) / 1
LCM(42391,42403) = 1797505573 / 1
LCM(42391,42403) = 1797505573
Least Common Multiple (LCM) of 42391 and 42403 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 42391 and 42403. First we will calculate the prime factors of 42391 and 42403.
Prime Factorization of 42391
Prime factors of 42391 are 42391. Prime factorization of 42391 in exponential form is:
42391 = 423911
Prime Factorization of 42403
Prime factors of 42403 are 42403. Prime factorization of 42403 in exponential form is:
42403 = 424031
Now multiplying the highest exponent prime factors to calculate the LCM of 42391 and 42403.
LCM(42391,42403) = 423911 × 424031
LCM(42391,42403) = 1797505573
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