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What is the Least Common Multiple of 26526 and 26539?

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 26526 and 26539 is 703973514.

LCM(26526,26539) = 703973514

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Least Common Multiple of 26526 and 26539 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26526 and 26539, than apply into the LCM equation.

GCF(26526,26539) = 1
LCM(26526,26539) = ( 26526 × 26539) / 1
LCM(26526,26539) = 703973514 / 1
LCM(26526,26539) = 703973514

Least Common Multiple (LCM) of 26526 and 26539 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26526 and 26539. First we will calculate the prime factors of 26526 and 26539.

Prime Factorization of 26526

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

26526 = 21 × 31 × 44211

Prime Factorization of 26539

Prime factors of 26539 are 26539. Prime factorization of 26539 in exponential form is:

26539 = 265391

Now multiplying the highest exponent prime factors to calculate the LCM of 26526 and 26539.

LCM(26526,26539) = 21 × 31 × 44211 × 265391
LCM(26526,26539) = 703973514