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What is the Least Common Multiple of 26563 and 26577?

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 26563 and 26577 is 705964851.

LCM(26563,26577) = 705964851

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Least Common Multiple of 26563 and 26577 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26563 and 26577, than apply into the LCM equation.

GCF(26563,26577) = 1
LCM(26563,26577) = ( 26563 × 26577) / 1
LCM(26563,26577) = 705964851 / 1
LCM(26563,26577) = 705964851

Least Common Multiple (LCM) of 26563 and 26577 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26563 and 26577. First we will calculate the prime factors of 26563 and 26577.

Prime Factorization of 26563

Prime factors of 26563 are 101, 263. Prime factorization of 26563 in exponential form is:

26563 = 1011 × 2631

Prime Factorization of 26577

Prime factors of 26577 are 3, 2953. Prime factorization of 26577 in exponential form is:

26577 = 32 × 29531

Now multiplying the highest exponent prime factors to calculate the LCM of 26563 and 26577.

LCM(26563,26577) = 1011 × 2631 × 32 × 29531
LCM(26563,26577) = 705964851