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What is the Least Common Multiple of 73151 and 73155?

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 73151 and 73155 is 5351361405.

LCM(73151,73155) = 5351361405

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Least Common Multiple of 73151 and 73155 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73151 and 73155, than apply into the LCM equation.

GCF(73151,73155) = 1
LCM(73151,73155) = ( 73151 × 73155) / 1
LCM(73151,73155) = 5351361405 / 1
LCM(73151,73155) = 5351361405

Least Common Multiple (LCM) of 73151 and 73155 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73151 and 73155. First we will calculate the prime factors of 73151 and 73155.

Prime Factorization of 73151

Prime factors of 73151 are 13, 17, 331. Prime factorization of 73151 in exponential form is:

73151 = 131 × 171 × 3311

Prime Factorization of 73155

Prime factors of 73155 are 3, 5, 4877. Prime factorization of 73155 in exponential form is:

73155 = 31 × 51 × 48771

Now multiplying the highest exponent prime factors to calculate the LCM of 73151 and 73155.

LCM(73151,73155) = 131 × 171 × 3311 × 31 × 51 × 48771
LCM(73151,73155) = 5351361405