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What is the Least Common Multiple of 27169 and 27187?

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 27169 and 27187 is 738643603.

LCM(27169,27187) = 738643603

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Least Common Multiple of 27169 and 27187 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27169 and 27187, than apply into the LCM equation.

GCF(27169,27187) = 1
LCM(27169,27187) = ( 27169 × 27187) / 1
LCM(27169,27187) = 738643603 / 1
LCM(27169,27187) = 738643603

Least Common Multiple (LCM) of 27169 and 27187 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27169 and 27187. First we will calculate the prime factors of 27169 and 27187.

Prime Factorization of 27169

Prime factors of 27169 are 101, 269. Prime factorization of 27169 in exponential form is:

27169 = 1011 × 2691

Prime Factorization of 27187

Prime factors of 27187 are 31, 877. Prime factorization of 27187 in exponential form is:

27187 = 311 × 8771

Now multiplying the highest exponent prime factors to calculate the LCM of 27169 and 27187.

LCM(27169,27187) = 1011 × 2691 × 311 × 8771
LCM(27169,27187) = 738643603