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What is the Least Common Multiple of 27224 and 27232?

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 27224 and 27232 is 92670496.

LCM(27224,27232) = 92670496

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Least Common Multiple of 27224 and 27232 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27224 and 27232, than apply into the LCM equation.

GCF(27224,27232) = 8
LCM(27224,27232) = ( 27224 × 27232) / 8
LCM(27224,27232) = 741363968 / 8
LCM(27224,27232) = 92670496

Least Common Multiple (LCM) of 27224 and 27232 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27224 and 27232. First we will calculate the prime factors of 27224 and 27232.

Prime Factorization of 27224

Prime factors of 27224 are 2, 41, 83. Prime factorization of 27224 in exponential form is:

27224 = 23 × 411 × 831

Prime Factorization of 27232

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

27232 = 25 × 231 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 27224 and 27232.

LCM(27224,27232) = 25 × 411 × 831 × 231 × 371
LCM(27224,27232) = 92670496