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What is the Least Common Multiple of 26567 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 26567 and 26577 is 706071159.

LCM(26567,26577) = 706071159

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Least Common Multiple of 26567 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 26567 and 26577, than apply into the LCM equation.

GCF(26567,26577) = 1
LCM(26567,26577) = ( 26567 × 26577) / 1
LCM(26567,26577) = 706071159 / 1
LCM(26567,26577) = 706071159

Least Common Multiple (LCM) of 26567 and 26577 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26567 and 26577. First we will calculate the prime factors of 26567 and 26577.

Prime Factorization of 26567

Prime factors of 26567 are 31, 857. Prime factorization of 26567 in exponential form is:

26567 = 311 × 8571

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 26567 and 26577.

LCM(26567,26577) = 311 × 8571 × 32 × 29531
LCM(26567,26577) = 706071159