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What is the Least Common Multiple of 64165 and 64174?

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 64165 and 64174 is 4117724710.

LCM(64165,64174) = 4117724710

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Least Common Multiple of 64165 and 64174 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64165 and 64174, than apply into the LCM equation.

GCF(64165,64174) = 1
LCM(64165,64174) = ( 64165 × 64174) / 1
LCM(64165,64174) = 4117724710 / 1
LCM(64165,64174) = 4117724710

Least Common Multiple (LCM) of 64165 and 64174 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64165 and 64174. First we will calculate the prime factors of 64165 and 64174.

Prime Factorization of 64165

Prime factors of 64165 are 5, 41, 313. Prime factorization of 64165 in exponential form is:

64165 = 51 × 411 × 3131

Prime Factorization of 64174

Prime factors of 64174 are 2, 11, 2917. Prime factorization of 64174 in exponential form is:

64174 = 21 × 111 × 29171

Now multiplying the highest exponent prime factors to calculate the LCM of 64165 and 64174.

LCM(64165,64174) = 51 × 411 × 3131 × 21 × 111 × 29171
LCM(64165,64174) = 4117724710