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What is the Least Common Multiple of 66320 and 66327?

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 66320 and 66327 is 4398806640.

LCM(66320,66327) = 4398806640

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Least Common Multiple of 66320 and 66327 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66320 and 66327, than apply into the LCM equation.

GCF(66320,66327) = 1
LCM(66320,66327) = ( 66320 × 66327) / 1
LCM(66320,66327) = 4398806640 / 1
LCM(66320,66327) = 4398806640

Least Common Multiple (LCM) of 66320 and 66327 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66320 and 66327. First we will calculate the prime factors of 66320 and 66327.

Prime Factorization of 66320

Prime factors of 66320 are 2, 5, 829. Prime factorization of 66320 in exponential form is:

66320 = 24 × 51 × 8291

Prime Factorization of 66327

Prime factors of 66327 are 3, 22109. Prime factorization of 66327 in exponential form is:

66327 = 31 × 221091

Now multiplying the highest exponent prime factors to calculate the LCM of 66320 and 66327.

LCM(66320,66327) = 24 × 51 × 8291 × 31 × 221091
LCM(66320,66327) = 4398806640