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What is the Least Common Multiple of 26074 and 26083?

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 26074 and 26083 is 680088142.

LCM(26074,26083) = 680088142

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Least Common Multiple of 26074 and 26083 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26074 and 26083, than apply into the LCM equation.

GCF(26074,26083) = 1
LCM(26074,26083) = ( 26074 × 26083) / 1
LCM(26074,26083) = 680088142 / 1
LCM(26074,26083) = 680088142

Least Common Multiple (LCM) of 26074 and 26083 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26074 and 26083. First we will calculate the prime factors of 26074 and 26083.

Prime Factorization of 26074

Prime factors of 26074 are 2, 13037. Prime factorization of 26074 in exponential form is:

26074 = 21 × 130371

Prime Factorization of 26083

Prime factors of 26083 are 26083. Prime factorization of 26083 in exponential form is:

26083 = 260831

Now multiplying the highest exponent prime factors to calculate the LCM of 26074 and 26083.

LCM(26074,26083) = 21 × 130371 × 260831
LCM(26074,26083) = 680088142