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What is the Least Common Multiple of 27132 and 27145?

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 27145 is 736498140.

LCM(27132,27145) = 736498140

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Least Common Multiple of 27132 and 27145 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 27145, than apply into the LCM equation.

GCF(27132,27145) = 1
LCM(27132,27145) = ( 27132 × 27145) / 1
LCM(27132,27145) = 736498140 / 1
LCM(27132,27145) = 736498140

Least Common Multiple (LCM) of 27132 and 27145 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27132 and 27145. First we will calculate the prime factors of 27132 and 27145.

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 27145

Prime factors of 27145 are 5, 61, 89. Prime factorization of 27145 in exponential form is:

27145 = 51 × 611 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 27132 and 27145.

LCM(27132,27145) = 22 × 31 × 71 × 171 × 191 × 51 × 611 × 891
LCM(27132,27145) = 736498140