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What is the Least Common Multiple of 66164 and 66176?

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 66164 and 66176 is 1094617216.

LCM(66164,66176) = 1094617216

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Least Common Multiple of 66164 and 66176 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66164 and 66176, than apply into the LCM equation.

GCF(66164,66176) = 4
LCM(66164,66176) = ( 66164 × 66176) / 4
LCM(66164,66176) = 4378468864 / 4
LCM(66164,66176) = 1094617216

Least Common Multiple (LCM) of 66164 and 66176 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66164 and 66176. First we will calculate the prime factors of 66164 and 66176.

Prime Factorization of 66164

Prime factors of 66164 are 2, 7, 17, 139. Prime factorization of 66164 in exponential form is:

66164 = 22 × 71 × 171 × 1391

Prime Factorization of 66176

Prime factors of 66176 are 2, 11, 47. Prime factorization of 66176 in exponential form is:

66176 = 27 × 111 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 66164 and 66176.

LCM(66164,66176) = 27 × 71 × 171 × 1391 × 111 × 471
LCM(66164,66176) = 1094617216