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What is the Least Common Multiple of 26103 and 26116?

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 26103 and 26116 is 681705948.

LCM(26103,26116) = 681705948

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Least Common Multiple of 26103 and 26116 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26103 and 26116, than apply into the LCM equation.

GCF(26103,26116) = 1
LCM(26103,26116) = ( 26103 × 26116) / 1
LCM(26103,26116) = 681705948 / 1
LCM(26103,26116) = 681705948

Least Common Multiple (LCM) of 26103 and 26116 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26103 and 26116. First we will calculate the prime factors of 26103 and 26116.

Prime Factorization of 26103

Prime factors of 26103 are 3, 7, 11, 113. Prime factorization of 26103 in exponential form is:

26103 = 31 × 71 × 111 × 1131

Prime Factorization of 26116

Prime factors of 26116 are 2, 6529. Prime factorization of 26116 in exponential form is:

26116 = 22 × 65291

Now multiplying the highest exponent prime factors to calculate the LCM of 26103 and 26116.

LCM(26103,26116) = 31 × 71 × 111 × 1131 × 22 × 65291
LCM(26103,26116) = 681705948