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What is the Least Common Multiple of 27135 and 27151?

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 27135 and 27151 is 736742385.

LCM(27135,27151) = 736742385

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Least Common Multiple of 27135 and 27151 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27135 and 27151, than apply into the LCM equation.

GCF(27135,27151) = 1
LCM(27135,27151) = ( 27135 × 27151) / 1
LCM(27135,27151) = 736742385 / 1
LCM(27135,27151) = 736742385

Least Common Multiple (LCM) of 27135 and 27151 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27135 and 27151. First we will calculate the prime factors of 27135 and 27151.

Prime Factorization of 27135

Prime factors of 27135 are 3, 5, 67. Prime factorization of 27135 in exponential form is:

27135 = 34 × 51 × 671

Prime Factorization of 27151

Prime factors of 27151 are 19, 1429. Prime factorization of 27151 in exponential form is:

27151 = 191 × 14291

Now multiplying the highest exponent prime factors to calculate the LCM of 27135 and 27151.

LCM(27135,27151) = 34 × 51 × 671 × 191 × 14291
LCM(27135,27151) = 736742385