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What is the Least Common Multiple of 27232 and 27242?

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 27232 and 27242 is 370927072.

LCM(27232,27242) = 370927072

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Least Common Multiple of 27232 and 27242 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27232 and 27242, than apply into the LCM equation.

GCF(27232,27242) = 2
LCM(27232,27242) = ( 27232 × 27242) / 2
LCM(27232,27242) = 741854144 / 2
LCM(27232,27242) = 370927072

Least Common Multiple (LCM) of 27232 and 27242 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27232 and 27242. First we will calculate the prime factors of 27232 and 27242.

Prime Factorization of 27232

Prime factors of 27232 are 2, 23, 37. Prime factorization of 27232 in exponential form is:

27232 = 25 × 231 × 371

Prime Factorization of 27242

Prime factors of 27242 are 2, 53, 257. Prime factorization of 27242 in exponential form is:

27242 = 21 × 531 × 2571

Now multiplying the highest exponent prime factors to calculate the LCM of 27232 and 27242.

LCM(27232,27242) = 25 × 231 × 371 × 531 × 2571
LCM(27232,27242) = 370927072