What is the Least Common Multiple of 26006 and 26015?
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 26006 and 26015 is 676546090.
LCM(26006,26015) = 676546090
Least Common Multiple of 26006 and 26015 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26006 and 26015, than apply into the LCM equation.
GCF(26006,26015) = 1
LCM(26006,26015) = ( 26006 × 26015) / 1
LCM(26006,26015) = 676546090 / 1
LCM(26006,26015) = 676546090
Least Common Multiple (LCM) of 26006 and 26015 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 26006 and 26015. First we will calculate the prime factors of 26006 and 26015.
Prime Factorization of 26006
Prime factors of 26006 are 2, 13003. Prime factorization of 26006 in exponential form is:
26006 = 21 × 130031
Prime Factorization of 26015
Prime factors of 26015 are 5, 11, 43. Prime factorization of 26015 in exponential form is:
26015 = 51 × 112 × 431
Now multiplying the highest exponent prime factors to calculate the LCM of 26006 and 26015.
LCM(26006,26015) = 21 × 130031 × 51 × 112 × 431
LCM(26006,26015) = 676546090
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