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What is the Least Common Multiple of 27245 and 27265?

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 27245 and 27265 is 148566985.

LCM(27245,27265) = 148566985

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Least Common Multiple of 27245 and 27265 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27245 and 27265, than apply into the LCM equation.

GCF(27245,27265) = 5
LCM(27245,27265) = ( 27245 × 27265) / 5
LCM(27245,27265) = 742834925 / 5
LCM(27245,27265) = 148566985

Least Common Multiple (LCM) of 27245 and 27265 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27245 and 27265. First we will calculate the prime factors of 27245 and 27265.

Prime Factorization of 27245

Prime factors of 27245 are 5, 5449. Prime factorization of 27245 in exponential form is:

27245 = 51 × 54491

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

Now multiplying the highest exponent prime factors to calculate the LCM of 27245 and 27265.

LCM(27245,27265) = 51 × 54491 × 71 × 191 × 411
LCM(27245,27265) = 148566985