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What is the Least Common Multiple of 66160 and 66174?

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 66160 and 66174 is 2189035920.

LCM(66160,66174) = 2189035920

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Least Common Multiple of 66160 and 66174 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66160 and 66174, than apply into the LCM equation.

GCF(66160,66174) = 2
LCM(66160,66174) = ( 66160 × 66174) / 2
LCM(66160,66174) = 4378071840 / 2
LCM(66160,66174) = 2189035920

Least Common Multiple (LCM) of 66160 and 66174 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66160 and 66174. First we will calculate the prime factors of 66160 and 66174.

Prime Factorization of 66160

Prime factors of 66160 are 2, 5, 827. Prime factorization of 66160 in exponential form is:

66160 = 24 × 51 × 8271

Prime Factorization of 66174

Prime factors of 66174 are 2, 3, 41, 269. Prime factorization of 66174 in exponential form is:

66174 = 21 × 31 × 411 × 2691

Now multiplying the highest exponent prime factors to calculate the LCM of 66160 and 66174.

LCM(66160,66174) = 24 × 51 × 8271 × 31 × 411 × 2691
LCM(66160,66174) = 2189035920