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What is the Least Common Multiple of 26136 and 26151?

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 26136 and 26151 is 227827512.

LCM(26136,26151) = 227827512

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Least Common Multiple of 26136 and 26151 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26136 and 26151, than apply into the LCM equation.

GCF(26136,26151) = 3
LCM(26136,26151) = ( 26136 × 26151) / 3
LCM(26136,26151) = 683482536 / 3
LCM(26136,26151) = 227827512

Least Common Multiple (LCM) of 26136 and 26151 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26136 and 26151. First we will calculate the prime factors of 26136 and 26151.

Prime Factorization of 26136

Prime factors of 26136 are 2, 3, 11. Prime factorization of 26136 in exponential form is:

26136 = 23 × 33 × 112

Prime Factorization of 26151

Prime factors of 26151 are 3, 23, 379. Prime factorization of 26151 in exponential form is:

26151 = 31 × 231 × 3791

Now multiplying the highest exponent prime factors to calculate the LCM of 26136 and 26151.

LCM(26136,26151) = 23 × 33 × 112 × 231 × 3791
LCM(26136,26151) = 227827512