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What is the Least Common Multiple of 27444 and 27452?

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 27444 and 27452 is 188348172.

LCM(27444,27452) = 188348172

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Least Common Multiple of 27444 and 27452 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27444 and 27452, than apply into the LCM equation.

GCF(27444,27452) = 4
LCM(27444,27452) = ( 27444 × 27452) / 4
LCM(27444,27452) = 753392688 / 4
LCM(27444,27452) = 188348172

Least Common Multiple (LCM) of 27444 and 27452 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27444 and 27452. First we will calculate the prime factors of 27444 and 27452.

Prime Factorization of 27444

Prime factors of 27444 are 2, 3, 2287. Prime factorization of 27444 in exponential form is:

27444 = 22 × 31 × 22871

Prime Factorization of 27452

Prime factors of 27452 are 2, 6863. Prime factorization of 27452 in exponential form is:

27452 = 22 × 68631

Now multiplying the highest exponent prime factors to calculate the LCM of 27444 and 27452.

LCM(27444,27452) = 22 × 31 × 22871 × 68631
LCM(27444,27452) = 188348172