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What is the Least Common Multiple of 27144 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 27144 and 27155 is 737095320.

LCM(27144,27155) = 737095320

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Least Common Multiple of 27144 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 27144 and 27155, than apply into the LCM equation.

GCF(27144,27155) = 1
LCM(27144,27155) = ( 27144 × 27155) / 1
LCM(27144,27155) = 737095320 / 1
LCM(27144,27155) = 737095320

Least Common Multiple (LCM) of 27144 and 27155 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27144 and 27155. First we will calculate the prime factors of 27144 and 27155.

Prime Factorization of 27144

Prime factors of 27144 are 2, 3, 13, 29. Prime factorization of 27144 in exponential form is:

27144 = 23 × 32 × 131 × 291

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 27144 and 27155.

LCM(27144,27155) = 23 × 32 × 131 × 291 × 51 × 54311
LCM(27144,27155) = 737095320