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What is the Least Common Multiple of 26014 and 26026?

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 26026 is 338520182.

LCM(26014,26026) = 338520182

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Least Common Multiple of 26014 and 26026 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 26026, than apply into the LCM equation.

GCF(26014,26026) = 2
LCM(26014,26026) = ( 26014 × 26026) / 2
LCM(26014,26026) = 677040364 / 2
LCM(26014,26026) = 338520182

Least Common Multiple (LCM) of 26014 and 26026 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26014 and 26026. First we will calculate the prime factors of 26014 and 26026.

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 26026

Prime factors of 26026 are 2, 7, 11, 13. Prime factorization of 26026 in exponential form is:

26026 = 21 × 71 × 111 × 132

Now multiplying the highest exponent prime factors to calculate the LCM of 26014 and 26026.

LCM(26014,26026) = 21 × 130071 × 71 × 111 × 132
LCM(26014,26026) = 338520182