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What is the Least Common Multiple of 26119 and 26135?

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 26119 and 26135 is 682620065.

LCM(26119,26135) = 682620065

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Least Common Multiple of 26119 and 26135 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26119 and 26135, than apply into the LCM equation.

GCF(26119,26135) = 1
LCM(26119,26135) = ( 26119 × 26135) / 1
LCM(26119,26135) = 682620065 / 1
LCM(26119,26135) = 682620065

Least Common Multiple (LCM) of 26119 and 26135 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26119 and 26135. First we will calculate the prime factors of 26119 and 26135.

Prime Factorization of 26119

Prime factors of 26119 are 26119. Prime factorization of 26119 in exponential form is:

26119 = 261191

Prime Factorization of 26135

Prime factors of 26135 are 5, 5227. Prime factorization of 26135 in exponential form is:

26135 = 51 × 52271

Now multiplying the highest exponent prime factors to calculate the LCM of 26119 and 26135.

LCM(26119,26135) = 261191 × 51 × 52271
LCM(26119,26135) = 682620065