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What is the Least Common Multiple of 26132 and 26146?

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 26132 and 26146 is 341623636.

LCM(26132,26146) = 341623636

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Least Common Multiple of 26132 and 26146 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26132 and 26146, than apply into the LCM equation.

GCF(26132,26146) = 2
LCM(26132,26146) = ( 26132 × 26146) / 2
LCM(26132,26146) = 683247272 / 2
LCM(26132,26146) = 341623636

Least Common Multiple (LCM) of 26132 and 26146 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26132 and 26146. First we will calculate the prime factors of 26132 and 26146.

Prime Factorization of 26132

Prime factors of 26132 are 2, 47, 139. Prime factorization of 26132 in exponential form is:

26132 = 22 × 471 × 1391

Prime Factorization of 26146

Prime factors of 26146 are 2, 17, 769. Prime factorization of 26146 in exponential form is:

26146 = 21 × 171 × 7691

Now multiplying the highest exponent prime factors to calculate the LCM of 26132 and 26146.

LCM(26132,26146) = 22 × 471 × 1391 × 171 × 7691
LCM(26132,26146) = 341623636