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What is the Least Common Multiple of 66382 and 66388?

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 66382 and 66388 is 2203484108.

LCM(66382,66388) = 2203484108

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Least Common Multiple of 66382 and 66388 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66382 and 66388, than apply into the LCM equation.

GCF(66382,66388) = 2
LCM(66382,66388) = ( 66382 × 66388) / 2
LCM(66382,66388) = 4406968216 / 2
LCM(66382,66388) = 2203484108

Least Common Multiple (LCM) of 66382 and 66388 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66382 and 66388. First we will calculate the prime factors of 66382 and 66388.

Prime Factorization of 66382

Prime factors of 66382 are 2, 33191. Prime factorization of 66382 in exponential form is:

66382 = 21 × 331911

Prime Factorization of 66388

Prime factors of 66388 are 2, 7, 2371. Prime factorization of 66388 in exponential form is:

66388 = 22 × 71 × 23711

Now multiplying the highest exponent prime factors to calculate the LCM of 66382 and 66388.

LCM(66382,66388) = 22 × 331911 × 71 × 23711
LCM(66382,66388) = 2203484108