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What is the Least Common Multiple of 66171 and 66186?

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 66171 and 66186 is 1459864602.

LCM(66171,66186) = 1459864602

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Least Common Multiple of 66171 and 66186 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66171 and 66186, than apply into the LCM equation.

GCF(66171,66186) = 3
LCM(66171,66186) = ( 66171 × 66186) / 3
LCM(66171,66186) = 4379593806 / 3
LCM(66171,66186) = 1459864602

Least Common Multiple (LCM) of 66171 and 66186 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66171 and 66186. First we will calculate the prime factors of 66171 and 66186.

Prime Factorization of 66171

Prime factors of 66171 are 3, 7, 23, 137. Prime factorization of 66171 in exponential form is:

66171 = 31 × 71 × 231 × 1371

Prime Factorization of 66186

Prime factors of 66186 are 2, 3, 3677. Prime factorization of 66186 in exponential form is:

66186 = 21 × 32 × 36771

Now multiplying the highest exponent prime factors to calculate the LCM of 66171 and 66186.

LCM(66171,66186) = 32 × 71 × 231 × 1371 × 21 × 36771
LCM(66171,66186) = 1459864602