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What is the Least Common Multiple of 26809 and 26826?

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 26826 is 42304602.

LCM(26809,26826) = 42304602

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Least Common Multiple of 26809 and 26826 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 26826, than apply into the LCM equation.

GCF(26809,26826) = 17
LCM(26809,26826) = ( 26809 × 26826) / 17
LCM(26809,26826) = 719178234 / 17
LCM(26809,26826) = 42304602

Least Common Multiple (LCM) of 26809 and 26826 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26809 and 26826. First we will calculate the prime factors of 26809 and 26826.

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 26826

Prime factors of 26826 are 2, 3, 17, 263. Prime factorization of 26826 in exponential form is:

26826 = 21 × 31 × 171 × 2631

Now multiplying the highest exponent prime factors to calculate the LCM of 26809 and 26826.

LCM(26809,26826) = 171 × 191 × 831 × 21 × 31 × 2631
LCM(26809,26826) = 42304602