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What is the Least Common Multiple of 66381 and 66399?

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 66381 and 66399 is 1469210673.

LCM(66381,66399) = 1469210673

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Least Common Multiple of 66381 and 66399 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66381 and 66399, than apply into the LCM equation.

GCF(66381,66399) = 3
LCM(66381,66399) = ( 66381 × 66399) / 3
LCM(66381,66399) = 4407632019 / 3
LCM(66381,66399) = 1469210673

Least Common Multiple (LCM) of 66381 and 66399 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66381 and 66399. First we will calculate the prime factors of 66381 and 66399.

Prime Factorization of 66381

Prime factors of 66381 are 3, 7, 29, 109. Prime factorization of 66381 in exponential form is:

66381 = 31 × 71 × 291 × 1091

Prime Factorization of 66399

Prime factors of 66399 are 3, 22133. Prime factorization of 66399 in exponential form is:

66399 = 31 × 221331

Now multiplying the highest exponent prime factors to calculate the LCM of 66381 and 66399.

LCM(66381,66399) = 31 × 71 × 291 × 1091 × 221331
LCM(66381,66399) = 1469210673