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What is the Least Common Multiple of 26809 and 26829?

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 26809 and 26829 is 719258661.

LCM(26809,26829) = 719258661

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Least Common Multiple of 26809 and 26829 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26809 and 26829, than apply into the LCM equation.

GCF(26809,26829) = 1
LCM(26809,26829) = ( 26809 × 26829) / 1
LCM(26809,26829) = 719258661 / 1
LCM(26809,26829) = 719258661

Least Common Multiple (LCM) of 26809 and 26829 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26809 and 26829. First we will calculate the prime factors of 26809 and 26829.

Prime Factorization of 26809

Prime factors of 26809 are 17, 19, 83. Prime factorization of 26809 in exponential form is:

26809 = 171 × 191 × 831

Prime Factorization of 26829

Prime factors of 26829 are 3, 11, 271. Prime factorization of 26829 in exponential form is:

26829 = 32 × 111 × 2711

Now multiplying the highest exponent prime factors to calculate the LCM of 26809 and 26829.

LCM(26809,26829) = 171 × 191 × 831 × 32 × 111 × 2711
LCM(26809,26829) = 719258661