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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

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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