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What is the Least Common Multiple of 26935 and 26949?

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 26935 and 26949 is 725871315.

LCM(26935,26949) = 725871315

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Least Common Multiple of 26935 and 26949 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26935 and 26949, than apply into the LCM equation.

GCF(26935,26949) = 1
LCM(26935,26949) = ( 26935 × 26949) / 1
LCM(26935,26949) = 725871315 / 1
LCM(26935,26949) = 725871315

Least Common Multiple (LCM) of 26935 and 26949 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26935 and 26949. First we will calculate the prime factors of 26935 and 26949.

Prime Factorization of 26935

Prime factors of 26935 are 5, 5387. Prime factorization of 26935 in exponential form is:

26935 = 51 × 53871

Prime Factorization of 26949

Prime factors of 26949 are 3, 13, 691. Prime factorization of 26949 in exponential form is:

26949 = 31 × 131 × 6911

Now multiplying the highest exponent prime factors to calculate the LCM of 26935 and 26949.

LCM(26935,26949) = 51 × 53871 × 31 × 131 × 6911
LCM(26935,26949) = 725871315