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What is the Least Common Multiple of 26553 and 26564?

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 26553 and 26564 is 705353892.

LCM(26553,26564) = 705353892

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Least Common Multiple of 26553 and 26564 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26553 and 26564, than apply into the LCM equation.

GCF(26553,26564) = 1
LCM(26553,26564) = ( 26553 × 26564) / 1
LCM(26553,26564) = 705353892 / 1
LCM(26553,26564) = 705353892

Least Common Multiple (LCM) of 26553 and 26564 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26553 and 26564. First we will calculate the prime factors of 26553 and 26564.

Prime Factorization of 26553

Prime factors of 26553 are 3, 53, 167. Prime factorization of 26553 in exponential form is:

26553 = 31 × 531 × 1671

Prime Factorization of 26564

Prime factors of 26564 are 2, 29, 229. Prime factorization of 26564 in exponential form is:

26564 = 22 × 291 × 2291

Now multiplying the highest exponent prime factors to calculate the LCM of 26553 and 26564.

LCM(26553,26564) = 31 × 531 × 1671 × 22 × 291 × 2291
LCM(26553,26564) = 705353892