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What is the Least Common Multiple of 27467 and 27483?

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 27467 and 27483 is 754875561.

LCM(27467,27483) = 754875561

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Least Common Multiple of 27467 and 27483 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27467 and 27483, than apply into the LCM equation.

GCF(27467,27483) = 1
LCM(27467,27483) = ( 27467 × 27483) / 1
LCM(27467,27483) = 754875561 / 1
LCM(27467,27483) = 754875561

Least Common Multiple (LCM) of 27467 and 27483 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27467 and 27483. First we will calculate the prime factors of 27467 and 27483.

Prime Factorization of 27467

Prime factors of 27467 are 11, 227. Prime factorization of 27467 in exponential form is:

27467 = 112 × 2271

Prime Factorization of 27483

Prime factors of 27483 are 3, 9161. Prime factorization of 27483 in exponential form is:

27483 = 31 × 91611

Now multiplying the highest exponent prime factors to calculate the LCM of 27467 and 27483.

LCM(27467,27483) = 112 × 2271 × 31 × 91611
LCM(27467,27483) = 754875561