What is the Least Common Multiple of 26167 and 26187?
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 26167 and 26187 is 685235229.
LCM(26167,26187) = 685235229
Least Common Multiple of 26167 and 26187 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26167 and 26187, than apply into the LCM equation.
GCF(26167,26187) = 1
LCM(26167,26187) = ( 26167 × 26187) / 1
LCM(26167,26187) = 685235229 / 1
LCM(26167,26187) = 685235229
Least Common Multiple (LCM) of 26167 and 26187 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 26167 and 26187. First we will calculate the prime factors of 26167 and 26187.
Prime Factorization of 26167
Prime factors of 26167 are 137, 191. Prime factorization of 26167 in exponential form is:
26167 = 1371 × 1911
Prime Factorization of 26187
Prime factors of 26187 are 3, 7, 29, 43. Prime factorization of 26187 in exponential form is:
26187 = 31 × 71 × 291 × 431
Now multiplying the highest exponent prime factors to calculate the LCM of 26167 and 26187.
LCM(26167,26187) = 1371 × 1911 × 31 × 71 × 291 × 431
LCM(26167,26187) = 685235229
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