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What is the Least Common Multiple of 27179 and 27186?

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 27179 and 27186 is 738888294.

LCM(27179,27186) = 738888294

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Least Common Multiple of 27179 and 27186 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27179 and 27186, than apply into the LCM equation.

GCF(27179,27186) = 1
LCM(27179,27186) = ( 27179 × 27186) / 1
LCM(27179,27186) = 738888294 / 1
LCM(27179,27186) = 738888294

Least Common Multiple (LCM) of 27179 and 27186 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27179 and 27186. First we will calculate the prime factors of 27179 and 27186.

Prime Factorization of 27179

Prime factors of 27179 are 27179. Prime factorization of 27179 in exponential form is:

27179 = 271791

Prime Factorization of 27186

Prime factors of 27186 are 2, 3, 23, 197. Prime factorization of 27186 in exponential form is:

27186 = 21 × 31 × 231 × 1971

Now multiplying the highest exponent prime factors to calculate the LCM of 27179 and 27186.

LCM(27179,27186) = 271791 × 21 × 31 × 231 × 1971
LCM(27179,27186) = 738888294