What is the Least Common Multiple of 42283 and 42293?
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 42283 and 42293 is 1788274919.
LCM(42283,42293) = 1788274919
Least Common Multiple of 42283 and 42293 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42283 and 42293, than apply into the LCM equation.
GCF(42283,42293) = 1
LCM(42283,42293) = ( 42283 × 42293) / 1
LCM(42283,42293) = 1788274919 / 1
LCM(42283,42293) = 1788274919
Least Common Multiple (LCM) of 42283 and 42293 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 42283 and 42293. First we will calculate the prime factors of 42283 and 42293.
Prime Factorization of 42283
Prime factors of 42283 are 42283. Prime factorization of 42283 in exponential form is:
42283 = 422831
Prime Factorization of 42293
Prime factors of 42293 are 42293. Prime factorization of 42293 in exponential form is:
42293 = 422931
Now multiplying the highest exponent prime factors to calculate the LCM of 42283 and 42293.
LCM(42283,42293) = 422831 × 422931
LCM(42283,42293) = 1788274919
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