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What is the Least Common Multiple of 80151 and 80165?

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 80151 and 80165 is 6425304915.

LCM(80151,80165) = 6425304915

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Least Common Multiple of 80151 and 80165 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80151 and 80165, than apply into the LCM equation.

GCF(80151,80165) = 1
LCM(80151,80165) = ( 80151 × 80165) / 1
LCM(80151,80165) = 6425304915 / 1
LCM(80151,80165) = 6425304915

Least Common Multiple (LCM) of 80151 and 80165 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80151 and 80165. First we will calculate the prime factors of 80151 and 80165.

Prime Factorization of 80151

Prime factors of 80151 are 3, 26717. Prime factorization of 80151 in exponential form is:

80151 = 31 × 267171

Prime Factorization of 80165

Prime factors of 80165 are 5, 16033. Prime factorization of 80165 in exponential form is:

80165 = 51 × 160331

Now multiplying the highest exponent prime factors to calculate the LCM of 80151 and 80165.

LCM(80151,80165) = 31 × 267171 × 51 × 160331
LCM(80151,80165) = 6425304915