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What is the Least Common Multiple of 26187 and 26196?

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 26187 and 26196 is 228664884.

LCM(26187,26196) = 228664884

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Least Common Multiple of 26187 and 26196 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26187 and 26196, than apply into the LCM equation.

GCF(26187,26196) = 3
LCM(26187,26196) = ( 26187 × 26196) / 3
LCM(26187,26196) = 685994652 / 3
LCM(26187,26196) = 228664884

Least Common Multiple (LCM) of 26187 and 26196 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26187 and 26196. First we will calculate the prime factors of 26187 and 26196.

Prime Factorization of 26187

Prime factors of 26187 are 3, 7, 29, 43. Prime factorization of 26187 in exponential form is:

26187 = 31 × 71 × 291 × 431

Prime Factorization of 26196

Prime factors of 26196 are 2, 3, 37, 59. Prime factorization of 26196 in exponential form is:

26196 = 22 × 31 × 371 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 26187 and 26196.

LCM(26187,26196) = 31 × 71 × 291 × 431 × 22 × 371 × 591
LCM(26187,26196) = 228664884