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What is the Least Common Multiple of 26514 and 26526?

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 26514 and 26526 is 117218394.

LCM(26514,26526) = 117218394

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Least Common Multiple of 26514 and 26526 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26514 and 26526, than apply into the LCM equation.

GCF(26514,26526) = 6
LCM(26514,26526) = ( 26514 × 26526) / 6
LCM(26514,26526) = 703310364 / 6
LCM(26514,26526) = 117218394

Least Common Multiple (LCM) of 26514 and 26526 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26514 and 26526. First we will calculate the prime factors of 26514 and 26526.

Prime Factorization of 26514

Prime factors of 26514 are 2, 3, 491. Prime factorization of 26514 in exponential form is:

26514 = 21 × 33 × 4911

Prime Factorization of 26526

Prime factors of 26526 are 2, 3, 4421. Prime factorization of 26526 in exponential form is:

26526 = 21 × 31 × 44211

Now multiplying the highest exponent prime factors to calculate the LCM of 26514 and 26526.

LCM(26514,26526) = 21 × 33 × 4911 × 44211
LCM(26514,26526) = 117218394