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What is the Least Common Multiple of 26558 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 26558 and 26577 is 705831966.

LCM(26558,26577) = 705831966

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Least Common Multiple of 26558 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 26558 and 26577, than apply into the LCM equation.

GCF(26558,26577) = 1
LCM(26558,26577) = ( 26558 × 26577) / 1
LCM(26558,26577) = 705831966 / 1
LCM(26558,26577) = 705831966

Least Common Multiple (LCM) of 26558 and 26577 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26558 and 26577. First we will calculate the prime factors of 26558 and 26577.

Prime Factorization of 26558

Prime factors of 26558 are 2, 7, 271. Prime factorization of 26558 in exponential form is:

26558 = 21 × 72 × 2711

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 26558 and 26577.

LCM(26558,26577) = 21 × 72 × 2711 × 32 × 29531
LCM(26558,26577) = 705831966