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What is the Least Common Multiple of 27137 and 27155?

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 27137 and 27155 is 736905235.

LCM(27137,27155) = 736905235

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Least Common Multiple of 27137 and 27155 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27137 and 27155, than apply into the LCM equation.

GCF(27137,27155) = 1
LCM(27137,27155) = ( 27137 × 27155) / 1
LCM(27137,27155) = 736905235 / 1
LCM(27137,27155) = 736905235

Least Common Multiple (LCM) of 27137 and 27155 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27137 and 27155. First we will calculate the prime factors of 27137 and 27155.

Prime Factorization of 27137

Prime factors of 27137 are 11, 2467. Prime factorization of 27137 in exponential form is:

27137 = 111 × 24671

Prime Factorization of 27155

Prime factors of 27155 are 5, 5431. Prime factorization of 27155 in exponential form is:

27155 = 51 × 54311

Now multiplying the highest exponent prime factors to calculate the LCM of 27137 and 27155.

LCM(27137,27155) = 111 × 24671 × 51 × 54311
LCM(27137,27155) = 736905235