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What is the Least Common Multiple of 26095 and 26113?

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 26095 and 26113 is 681418735.

LCM(26095,26113) = 681418735

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Least Common Multiple of 26095 and 26113 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26095 and 26113, than apply into the LCM equation.

GCF(26095,26113) = 1
LCM(26095,26113) = ( 26095 × 26113) / 1
LCM(26095,26113) = 681418735 / 1
LCM(26095,26113) = 681418735

Least Common Multiple (LCM) of 26095 and 26113 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26095 and 26113. First we will calculate the prime factors of 26095 and 26113.

Prime Factorization of 26095

Prime factors of 26095 are 5, 17, 307. Prime factorization of 26095 in exponential form is:

26095 = 51 × 171 × 3071

Prime Factorization of 26113

Prime factors of 26113 are 26113. Prime factorization of 26113 in exponential form is:

26113 = 261131

Now multiplying the highest exponent prime factors to calculate the LCM of 26095 and 26113.

LCM(26095,26113) = 51 × 171 × 3071 × 261131
LCM(26095,26113) = 681418735