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What is the Least Common Multiple of 18648 and 18656?

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 18648 and 18656 is 43487136.

LCM(18648,18656) = 43487136

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Least Common Multiple of 18648 and 18656 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18648 and 18656, than apply into the LCM equation.

GCF(18648,18656) = 8
LCM(18648,18656) = ( 18648 × 18656) / 8
LCM(18648,18656) = 347897088 / 8
LCM(18648,18656) = 43487136

Least Common Multiple (LCM) of 18648 and 18656 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18648 and 18656. First we will calculate the prime factors of 18648 and 18656.

Prime Factorization of 18648

Prime factors of 18648 are 2, 3, 7, 37. Prime factorization of 18648 in exponential form is:

18648 = 23 × 32 × 71 × 371

Prime Factorization of 18656

Prime factors of 18656 are 2, 11, 53. Prime factorization of 18656 in exponential form is:

18656 = 25 × 111 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 18648 and 18656.

LCM(18648,18656) = 25 × 32 × 71 × 371 × 111 × 531
LCM(18648,18656) = 43487136