What is the Least Common Multiple of 26283 and 26293?
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 26283 and 26293 is 691058919.
LCM(26283,26293) = 691058919
Least Common Multiple of 26283 and 26293 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26283 and 26293, than apply into the LCM equation.
GCF(26283,26293) = 1
LCM(26283,26293) = ( 26283 × 26293) / 1
LCM(26283,26293) = 691058919 / 1
LCM(26283,26293) = 691058919
Least Common Multiple (LCM) of 26283 and 26293 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 26283 and 26293. First we will calculate the prime factors of 26283 and 26293.
Prime Factorization of 26283
Prime factors of 26283 are 3, 8761. Prime factorization of 26283 in exponential form is:
26283 = 31 × 87611
Prime Factorization of 26293
Prime factors of 26293 are 26293. Prime factorization of 26293 in exponential form is:
26293 = 262931
Now multiplying the highest exponent prime factors to calculate the LCM of 26283 and 26293.
LCM(26283,26293) = 31 × 87611 × 262931
LCM(26283,26293) = 691058919
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