What is the Least Common Multiple of 26014 and 26031?
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 26014 and 26031 is 677170434.
LCM(26014,26031) = 677170434
Least Common Multiple of 26014 and 26031 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26014 and 26031, than apply into the LCM equation.
GCF(26014,26031) = 1
LCM(26014,26031) = ( 26014 × 26031) / 1
LCM(26014,26031) = 677170434 / 1
LCM(26014,26031) = 677170434
Least Common Multiple (LCM) of 26014 and 26031 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 26014 and 26031. First we will calculate the prime factors of 26014 and 26031.
Prime Factorization of 26014
Prime factors of 26014 are 2, 13007. Prime factorization of 26014 in exponential form is:
26014 = 21 × 130071
Prime Factorization of 26031
Prime factors of 26031 are 3, 8677. Prime factorization of 26031 in exponential form is:
26031 = 31 × 86771
Now multiplying the highest exponent prime factors to calculate the LCM of 26014 and 26031.
LCM(26014,26031) = 21 × 130071 × 31 × 86771
LCM(26014,26031) = 677170434
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