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What is the Least Common Multiple of 27260 and 27277?

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 27260 and 27277 is 743571020.

LCM(27260,27277) = 743571020

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Least Common Multiple of 27260 and 27277 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27260 and 27277, than apply into the LCM equation.

GCF(27260,27277) = 1
LCM(27260,27277) = ( 27260 × 27277) / 1
LCM(27260,27277) = 743571020 / 1
LCM(27260,27277) = 743571020

Least Common Multiple (LCM) of 27260 and 27277 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27260 and 27277. First we will calculate the prime factors of 27260 and 27277.

Prime Factorization of 27260

Prime factors of 27260 are 2, 5, 29, 47. Prime factorization of 27260 in exponential form is:

27260 = 22 × 51 × 291 × 471

Prime Factorization of 27277

Prime factors of 27277 are 27277. Prime factorization of 27277 in exponential form is:

27277 = 272771

Now multiplying the highest exponent prime factors to calculate the LCM of 27260 and 27277.

LCM(27260,27277) = 22 × 51 × 291 × 471 × 272771
LCM(27260,27277) = 743571020