What is the Least Common Multiple of 26158 and 26163?
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 26158 and 26163 is 684371754.
LCM(26158,26163) = 684371754
Least Common Multiple of 26158 and 26163 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26158 and 26163, than apply into the LCM equation.
GCF(26158,26163) = 1
LCM(26158,26163) = ( 26158 × 26163) / 1
LCM(26158,26163) = 684371754 / 1
LCM(26158,26163) = 684371754
Least Common Multiple (LCM) of 26158 and 26163 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 26158 and 26163. First we will calculate the prime factors of 26158 and 26163.
Prime Factorization of 26158
Prime factors of 26158 are 2, 11, 29, 41. Prime factorization of 26158 in exponential form is:
26158 = 21 × 111 × 291 × 411
Prime Factorization of 26163
Prime factors of 26163 are 3, 17, 19. Prime factorization of 26163 in exponential form is:
26163 = 34 × 171 × 191
Now multiplying the highest exponent prime factors to calculate the LCM of 26158 and 26163.
LCM(26158,26163) = 21 × 111 × 291 × 411 × 34 × 171 × 191
LCM(26158,26163) = 684371754
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