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What is the Least Common Multiple of 27132 and 27148?

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 27132 and 27148 is 184144884.

LCM(27132,27148) = 184144884

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Least Common Multiple of 27132 and 27148 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27132 and 27148, than apply into the LCM equation.

GCF(27132,27148) = 4
LCM(27132,27148) = ( 27132 × 27148) / 4
LCM(27132,27148) = 736579536 / 4
LCM(27132,27148) = 184144884

Least Common Multiple (LCM) of 27132 and 27148 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27132 and 27148. First we will calculate the prime factors of 27132 and 27148.

Prime Factorization of 27132

Prime factors of 27132 are 2, 3, 7, 17, 19. Prime factorization of 27132 in exponential form is:

27132 = 22 × 31 × 71 × 171 × 191

Prime Factorization of 27148

Prime factors of 27148 are 2, 11, 617. Prime factorization of 27148 in exponential form is:

27148 = 22 × 111 × 6171

Now multiplying the highest exponent prime factors to calculate the LCM of 27132 and 27148.

LCM(27132,27148) = 22 × 31 × 71 × 171 × 191 × 111 × 6171
LCM(27132,27148) = 184144884