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What is the Least Common Multiple of 26188 and 26206?

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 26188 and 26206 is 343141364.

LCM(26188,26206) = 343141364

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Least Common Multiple of 26188 and 26206 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26188 and 26206, than apply into the LCM equation.

GCF(26188,26206) = 2
LCM(26188,26206) = ( 26188 × 26206) / 2
LCM(26188,26206) = 686282728 / 2
LCM(26188,26206) = 343141364

Least Common Multiple (LCM) of 26188 and 26206 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26188 and 26206. First we will calculate the prime factors of 26188 and 26206.

Prime Factorization of 26188

Prime factors of 26188 are 2, 6547. Prime factorization of 26188 in exponential form is:

26188 = 22 × 65471

Prime Factorization of 26206

Prime factors of 26206 are 2, 13103. Prime factorization of 26206 in exponential form is:

26206 = 21 × 131031

Now multiplying the highest exponent prime factors to calculate the LCM of 26188 and 26206.

LCM(26188,26206) = 22 × 65471 × 131031
LCM(26188,26206) = 343141364