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What is the Least Common Multiple of 27265 and 27272?

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 27265 and 27272 is 106224440.

LCM(27265,27272) = 106224440

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Least Common Multiple of 27265 and 27272 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27265 and 27272, than apply into the LCM equation.

GCF(27265,27272) = 7
LCM(27265,27272) = ( 27265 × 27272) / 7
LCM(27265,27272) = 743571080 / 7
LCM(27265,27272) = 106224440

Least Common Multiple (LCM) of 27265 and 27272 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27265 and 27272. First we will calculate the prime factors of 27265 and 27272.

Prime Factorization of 27265

Prime factors of 27265 are 5, 7, 19, 41. Prime factorization of 27265 in exponential form is:

27265 = 51 × 71 × 191 × 411

Prime Factorization of 27272

Prime factors of 27272 are 2, 7, 487. Prime factorization of 27272 in exponential form is:

27272 = 23 × 71 × 4871

Now multiplying the highest exponent prime factors to calculate the LCM of 27265 and 27272.

LCM(27265,27272) = 51 × 71 × 191 × 411 × 23 × 4871
LCM(27265,27272) = 106224440