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What is the Least Common Multiple of 26004 and 26020?

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 26020 is 169156020.

LCM(26004,26020) = 169156020

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Least Common Multiple of 26004 and 26020 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 26020, than apply into the LCM equation.

GCF(26004,26020) = 4
LCM(26004,26020) = ( 26004 × 26020) / 4
LCM(26004,26020) = 676624080 / 4
LCM(26004,26020) = 169156020

Least Common Multiple (LCM) of 26004 and 26020 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26004 and 26020. First we will calculate the prime factors of 26004 and 26020.

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 26020

Prime factors of 26020 are 2, 5, 1301. Prime factorization of 26020 in exponential form is:

26020 = 22 × 51 × 13011

Now multiplying the highest exponent prime factors to calculate the LCM of 26004 and 26020.

LCM(26004,26020) = 22 × 31 × 111 × 1971 × 51 × 13011
LCM(26004,26020) = 169156020