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What is the Least Common Multiple of 26689 and 26693?

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 26689 and 26693 is 712409477.

LCM(26689,26693) = 712409477

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Least Common Multiple of 26689 and 26693 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26689 and 26693, than apply into the LCM equation.

GCF(26689,26693) = 1
LCM(26689,26693) = ( 26689 × 26693) / 1
LCM(26689,26693) = 712409477 / 1
LCM(26689,26693) = 712409477

Least Common Multiple (LCM) of 26689 and 26693 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26689 and 26693. First we will calculate the prime factors of 26689 and 26693.

Prime Factorization of 26689

Prime factors of 26689 are 13, 2053. Prime factorization of 26689 in exponential form is:

26689 = 131 × 20531

Prime Factorization of 26693

Prime factors of 26693 are 26693. Prime factorization of 26693 in exponential form is:

26693 = 266931

Now multiplying the highest exponent prime factors to calculate the LCM of 26689 and 26693.

LCM(26689,26693) = 131 × 20531 × 266931
LCM(26689,26693) = 712409477