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What is the Least Common Multiple of 27159 and 27169?

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 27159 and 27169 is 737882871.

LCM(27159,27169) = 737882871

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Least Common Multiple of 27159 and 27169 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27159 and 27169, than apply into the LCM equation.

GCF(27159,27169) = 1
LCM(27159,27169) = ( 27159 × 27169) / 1
LCM(27159,27169) = 737882871 / 1
LCM(27159,27169) = 737882871

Least Common Multiple (LCM) of 27159 and 27169 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27159 and 27169. First we will calculate the prime factors of 27159 and 27169.

Prime Factorization of 27159

Prime factors of 27159 are 3, 11, 823. Prime factorization of 27159 in exponential form is:

27159 = 31 × 111 × 8231

Prime Factorization of 27169

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

27169 = 1011 × 2691

Now multiplying the highest exponent prime factors to calculate the LCM of 27159 and 27169.

LCM(27159,27169) = 31 × 111 × 8231 × 1011 × 2691
LCM(27159,27169) = 737882871