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What is the Least Common Multiple of 66805 and 66816?

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 66805 and 66816 is 4463642880.

LCM(66805,66816) = 4463642880

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Least Common Multiple of 66805 and 66816 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66805 and 66816, than apply into the LCM equation.

GCF(66805,66816) = 1
LCM(66805,66816) = ( 66805 × 66816) / 1
LCM(66805,66816) = 4463642880 / 1
LCM(66805,66816) = 4463642880

Least Common Multiple (LCM) of 66805 and 66816 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66805 and 66816. First we will calculate the prime factors of 66805 and 66816.

Prime Factorization of 66805

Prime factors of 66805 are 5, 31, 431. Prime factorization of 66805 in exponential form is:

66805 = 51 × 311 × 4311

Prime Factorization of 66816

Prime factors of 66816 are 2, 3, 29. Prime factorization of 66816 in exponential form is:

66816 = 28 × 32 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 66805 and 66816.

LCM(66805,66816) = 51 × 311 × 4311 × 28 × 32 × 291
LCM(66805,66816) = 4463642880