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What is the Least Common Multiple of 26071 and 26079?

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 26071 and 26079 is 679905609.

LCM(26071,26079) = 679905609

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Least Common Multiple of 26071 and 26079 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26071 and 26079, than apply into the LCM equation.

GCF(26071,26079) = 1
LCM(26071,26079) = ( 26071 × 26079) / 1
LCM(26071,26079) = 679905609 / 1
LCM(26071,26079) = 679905609

Least Common Multiple (LCM) of 26071 and 26079 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26071 and 26079. First we will calculate the prime factors of 26071 and 26079.

Prime Factorization of 26071

Prime factors of 26071 are 29, 31. Prime factorization of 26071 in exponential form is:

26071 = 292 × 311

Prime Factorization of 26079

Prime factors of 26079 are 3, 8693. Prime factorization of 26079 in exponential form is:

26079 = 31 × 86931

Now multiplying the highest exponent prime factors to calculate the LCM of 26071 and 26079.

LCM(26071,26079) = 292 × 311 × 31 × 86931
LCM(26071,26079) = 679905609