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What is the Least Common Multiple of 26004 and 26018?

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 26004 and 26018 is 338286036.

LCM(26004,26018) = 338286036

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Least Common Multiple of 26004 and 26018 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26004 and 26018, than apply into the LCM equation.

GCF(26004,26018) = 2
LCM(26004,26018) = ( 26004 × 26018) / 2
LCM(26004,26018) = 676572072 / 2
LCM(26004,26018) = 338286036

Least Common Multiple (LCM) of 26004 and 26018 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26004 and 26018. First we will calculate the prime factors of 26004 and 26018.

Prime Factorization of 26004

Prime factors of 26004 are 2, 3, 11, 197. Prime factorization of 26004 in exponential form is:

26004 = 22 × 31 × 111 × 1971

Prime Factorization of 26018

Prime factors of 26018 are 2, 13009. Prime factorization of 26018 in exponential form is:

26018 = 21 × 130091

Now multiplying the highest exponent prime factors to calculate the LCM of 26004 and 26018.

LCM(26004,26018) = 22 × 31 × 111 × 1971 × 130091
LCM(26004,26018) = 338286036