What is the Least Common Multiple of 26007 and 26017?
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 26007 and 26017 is 676624119.
LCM(26007,26017) = 676624119
Least Common Multiple of 26007 and 26017 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26007 and 26017, than apply into the LCM equation.
GCF(26007,26017) = 1
LCM(26007,26017) = ( 26007 × 26017) / 1
LCM(26007,26017) = 676624119 / 1
LCM(26007,26017) = 676624119
Least Common Multiple (LCM) of 26007 and 26017 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 26007 and 26017. First we will calculate the prime factors of 26007 and 26017.
Prime Factorization of 26007
Prime factors of 26007 are 3, 8669. Prime factorization of 26007 in exponential form is:
26007 = 31 × 86691
Prime Factorization of 26017
Prime factors of 26017 are 26017. Prime factorization of 26017 in exponential form is:
26017 = 260171
Now multiplying the highest exponent prime factors to calculate the LCM of 26007 and 26017.
LCM(26007,26017) = 31 × 86691 × 260171
LCM(26007,26017) = 676624119
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