What is the Least Common Multiple of 283 and 293?
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 283 and 293 is 82919.
LCM(283,293) = 82919
Least Common Multiple of 283 and 293 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 283 and 293, than apply into the LCM equation.
GCF(283,293) = 1
LCM(283,293) = ( 283 × 293) / 1
LCM(283,293) = 82919 / 1
LCM(283,293) = 82919
Least Common Multiple (LCM) of 283 and 293 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 283 and 293. First we will calculate the prime factors of 283 and 293.
Prime Factorization of 283
Prime factors of 283 are 283. Prime factorization of 283 in exponential form is:
283 = 2831
Prime Factorization of 293
Prime factors of 293 are 293. Prime factorization of 293 in exponential form is:
293 = 2931
Now multiplying the highest exponent prime factors to calculate the LCM of 283 and 293.
LCM(283,293) = 2831 × 2931
LCM(283,293) = 82919
Related Least Common Multiples of 283
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