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What is the Least Common Multiple of 26108 and 26115?

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 26108 and 26115 is 681810420.

LCM(26108,26115) = 681810420

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Least Common Multiple of 26108 and 26115 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26108 and 26115, than apply into the LCM equation.

GCF(26108,26115) = 1
LCM(26108,26115) = ( 26108 × 26115) / 1
LCM(26108,26115) = 681810420 / 1
LCM(26108,26115) = 681810420

Least Common Multiple (LCM) of 26108 and 26115 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26108 and 26115. First we will calculate the prime factors of 26108 and 26115.

Prime Factorization of 26108

Prime factors of 26108 are 2, 61, 107. Prime factorization of 26108 in exponential form is:

26108 = 22 × 611 × 1071

Prime Factorization of 26115

Prime factors of 26115 are 3, 5, 1741. Prime factorization of 26115 in exponential form is:

26115 = 31 × 51 × 17411

Now multiplying the highest exponent prime factors to calculate the LCM of 26108 and 26115.

LCM(26108,26115) = 22 × 611 × 1071 × 31 × 51 × 17411
LCM(26108,26115) = 681810420