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What is the Least Common Multiple of 26553 and 26567?

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 26567 is 705433551.

LCM(26553,26567) = 705433551

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Least Common Multiple of 26553 and 26567 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 26567, than apply into the LCM equation.

GCF(26553,26567) = 1
LCM(26553,26567) = ( 26553 × 26567) / 1
LCM(26553,26567) = 705433551 / 1
LCM(26553,26567) = 705433551

Least Common Multiple (LCM) of 26553 and 26567 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26553 and 26567. First we will calculate the prime factors of 26553 and 26567.

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 26567

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

26567 = 311 × 8571

Now multiplying the highest exponent prime factors to calculate the LCM of 26553 and 26567.

LCM(26553,26567) = 31 × 531 × 1671 × 311 × 8571
LCM(26553,26567) = 705433551