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What is the Least Common Multiple of 27056 and 27076?

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 27056 and 27076 is 183142064.

LCM(27056,27076) = 183142064

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Least Common Multiple of 27056 and 27076 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27056 and 27076, than apply into the LCM equation.

GCF(27056,27076) = 4
LCM(27056,27076) = ( 27056 × 27076) / 4
LCM(27056,27076) = 732568256 / 4
LCM(27056,27076) = 183142064

Least Common Multiple (LCM) of 27056 and 27076 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27056 and 27076. First we will calculate the prime factors of 27056 and 27076.

Prime Factorization of 27056

Prime factors of 27056 are 2, 19, 89. Prime factorization of 27056 in exponential form is:

27056 = 24 × 191 × 891

Prime Factorization of 27076

Prime factors of 27076 are 2, 7, 967. Prime factorization of 27076 in exponential form is:

27076 = 22 × 71 × 9671

Now multiplying the highest exponent prime factors to calculate the LCM of 27056 and 27076.

LCM(27056,27076) = 24 × 191 × 891 × 71 × 9671
LCM(27056,27076) = 183142064