What is the Least Common Multiple of 26151 and 26155?
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 26151 and 26155 is 683979405.
LCM(26151,26155) = 683979405
Least Common Multiple of 26151 and 26155 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26151 and 26155, than apply into the LCM equation.
GCF(26151,26155) = 1
LCM(26151,26155) = ( 26151 × 26155) / 1
LCM(26151,26155) = 683979405 / 1
LCM(26151,26155) = 683979405
Least Common Multiple (LCM) of 26151 and 26155 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 26151 and 26155. First we will calculate the prime factors of 26151 and 26155.
Prime Factorization of 26151
Prime factors of 26151 are 3, 23, 379. Prime factorization of 26151 in exponential form is:
26151 = 31 × 231 × 3791
Prime Factorization of 26155
Prime factors of 26155 are 5, 5231. Prime factorization of 26155 in exponential form is:
26155 = 51 × 52311
Now multiplying the highest exponent prime factors to calculate the LCM of 26151 and 26155.
LCM(26151,26155) = 31 × 231 × 3791 × 51 × 52311
LCM(26151,26155) = 683979405
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