What is the Least Common Multiple of 26163 and 26183?
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 26163 and 26183 is 685025829.
LCM(26163,26183) = 685025829
Least Common Multiple of 26163 and 26183 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26163 and 26183, than apply into the LCM equation.
GCF(26163,26183) = 1
LCM(26163,26183) = ( 26163 × 26183) / 1
LCM(26163,26183) = 685025829 / 1
LCM(26163,26183) = 685025829
Least Common Multiple (LCM) of 26163 and 26183 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 26163 and 26183. First we will calculate the prime factors of 26163 and 26183.
Prime Factorization of 26163
Prime factors of 26163 are 3, 17, 19. Prime factorization of 26163 in exponential form is:
26163 = 34 × 171 × 191
Prime Factorization of 26183
Prime factors of 26183 are 26183. Prime factorization of 26183 in exponential form is:
26183 = 261831
Now multiplying the highest exponent prime factors to calculate the LCM of 26163 and 26183.
LCM(26163,26183) = 34 × 171 × 191 × 261831
LCM(26163,26183) = 685025829
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