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What is the Least Common Multiple of 26959 and 26979?

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 26959 and 26979 is 727326861.

LCM(26959,26979) = 727326861

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Least Common Multiple of 26959 and 26979 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26959 and 26979, than apply into the LCM equation.

GCF(26959,26979) = 1
LCM(26959,26979) = ( 26959 × 26979) / 1
LCM(26959,26979) = 727326861 / 1
LCM(26959,26979) = 727326861

Least Common Multiple (LCM) of 26959 and 26979 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26959 and 26979. First we will calculate the prime factors of 26959 and 26979.

Prime Factorization of 26959

Prime factors of 26959 are 26959. Prime factorization of 26959 in exponential form is:

26959 = 269591

Prime Factorization of 26979

Prime factors of 26979 are 3, 17, 23. Prime factorization of 26979 in exponential form is:

26979 = 31 × 171 × 232

Now multiplying the highest exponent prime factors to calculate the LCM of 26959 and 26979.

LCM(26959,26979) = 269591 × 31 × 171 × 232
LCM(26959,26979) = 727326861