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What is the Least Common Multiple of 66182 and 66187?

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 66182 and 66187 is 4380388034.

LCM(66182,66187) = 4380388034

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Least Common Multiple of 66182 and 66187 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66182 and 66187, than apply into the LCM equation.

GCF(66182,66187) = 1
LCM(66182,66187) = ( 66182 × 66187) / 1
LCM(66182,66187) = 4380388034 / 1
LCM(66182,66187) = 4380388034

Least Common Multiple (LCM) of 66182 and 66187 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66182 and 66187. First we will calculate the prime factors of 66182 and 66187.

Prime Factorization of 66182

Prime factors of 66182 are 2, 33091. Prime factorization of 66182 in exponential form is:

66182 = 21 × 330911

Prime Factorization of 66187

Prime factors of 66187 are 11, 547. Prime factorization of 66187 in exponential form is:

66187 = 112 × 5471

Now multiplying the highest exponent prime factors to calculate the LCM of 66182 and 66187.

LCM(66182,66187) = 21 × 330911 × 112 × 5471
LCM(66182,66187) = 4380388034