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What is the Least Common Multiple of 26557 and 26573?

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 26557 and 26573 is 705699161.

LCM(26557,26573) = 705699161

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Least Common Multiple of 26557 and 26573 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26557 and 26573, than apply into the LCM equation.

GCF(26557,26573) = 1
LCM(26557,26573) = ( 26557 × 26573) / 1
LCM(26557,26573) = 705699161 / 1
LCM(26557,26573) = 705699161

Least Common Multiple (LCM) of 26557 and 26573 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26557 and 26573. First we will calculate the prime factors of 26557 and 26573.

Prime Factorization of 26557

Prime factors of 26557 are 26557. Prime factorization of 26557 in exponential form is:

26557 = 265571

Prime Factorization of 26573

Prime factors of 26573 are 26573. Prime factorization of 26573 in exponential form is:

26573 = 265731

Now multiplying the highest exponent prime factors to calculate the LCM of 26557 and 26573.

LCM(26557,26573) = 265571 × 265731
LCM(26557,26573) = 705699161