What is the Least Common Multiple of 42281 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 42281 and 42293 is 1788190333.
LCM(42281,42293) = 1788190333
Least Common Multiple of 42281 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 42281 and 42293, than apply into the LCM equation.
GCF(42281,42293) = 1
LCM(42281,42293) = ( 42281 × 42293) / 1
LCM(42281,42293) = 1788190333 / 1
LCM(42281,42293) = 1788190333
Least Common Multiple (LCM) of 42281 and 42293 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 42281 and 42293. First we will calculate the prime factors of 42281 and 42293.
Prime Factorization of 42281
Prime factors of 42281 are 42281. Prime factorization of 42281 in exponential form is:
42281 = 422811
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 42281 and 42293.
LCM(42281,42293) = 422811 × 422931
LCM(42281,42293) = 1788190333
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