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What is the Least Common Multiple of 27084 and 27092?

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 27084 and 27092 is 183439932.

LCM(27084,27092) = 183439932

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Least Common Multiple of 27084 and 27092 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27084 and 27092, than apply into the LCM equation.

GCF(27084,27092) = 4
LCM(27084,27092) = ( 27084 × 27092) / 4
LCM(27084,27092) = 733759728 / 4
LCM(27084,27092) = 183439932

Least Common Multiple (LCM) of 27084 and 27092 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27084 and 27092. First we will calculate the prime factors of 27084 and 27092.

Prime Factorization of 27084

Prime factors of 27084 are 2, 3, 37, 61. Prime factorization of 27084 in exponential form is:

27084 = 22 × 31 × 371 × 611

Prime Factorization of 27092

Prime factors of 27092 are 2, 13, 521. Prime factorization of 27092 in exponential form is:

27092 = 22 × 131 × 5211

Now multiplying the highest exponent prime factors to calculate the LCM of 27084 and 27092.

LCM(27084,27092) = 22 × 31 × 371 × 611 × 131 × 5211
LCM(27084,27092) = 183439932