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What is the Least Common Multiple of 27648 and 27656?

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 27648 and 27656 is 95579136.

LCM(27648,27656) = 95579136

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Least Common Multiple of 27648 and 27656 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27648 and 27656, than apply into the LCM equation.

GCF(27648,27656) = 8
LCM(27648,27656) = ( 27648 × 27656) / 8
LCM(27648,27656) = 764633088 / 8
LCM(27648,27656) = 95579136

Least Common Multiple (LCM) of 27648 and 27656 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27648 and 27656. First we will calculate the prime factors of 27648 and 27656.

Prime Factorization of 27648

Prime factors of 27648 are 2, 3. Prime factorization of 27648 in exponential form is:

27648 = 210 × 33

Prime Factorization of 27656

Prime factors of 27656 are 2, 3457. Prime factorization of 27656 in exponential form is:

27656 = 23 × 34571

Now multiplying the highest exponent prime factors to calculate the LCM of 27648 and 27656.

LCM(27648,27656) = 210 × 33 × 34571
LCM(27648,27656) = 95579136