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What is the Least Common Multiple of 80151 and 80155?

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 80155 is 6424503405.

LCM(80151,80155) = 6424503405

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Least Common Multiple of 80151 and 80155 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 80155, than apply into the LCM equation.

GCF(80151,80155) = 1
LCM(80151,80155) = ( 80151 × 80155) / 1
LCM(80151,80155) = 6424503405 / 1
LCM(80151,80155) = 6424503405

Least Common Multiple (LCM) of 80151 and 80155 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80151 and 80155. First we will calculate the prime factors of 80151 and 80155.

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 80155

Prime factors of 80155 are 5, 17, 23, 41. Prime factorization of 80155 in exponential form is:

80155 = 51 × 171 × 231 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 80151 and 80155.

LCM(80151,80155) = 31 × 267171 × 51 × 171 × 231 × 411
LCM(80151,80155) = 6424503405