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What is the Least Common Multiple of 83147 and 83155?

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 83147 and 83155 is 6914088785.

LCM(83147,83155) = 6914088785

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Least Common Multiple of 83147 and 83155 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83147 and 83155, than apply into the LCM equation.

GCF(83147,83155) = 1
LCM(83147,83155) = ( 83147 × 83155) / 1
LCM(83147,83155) = 6914088785 / 1
LCM(83147,83155) = 6914088785

Least Common Multiple (LCM) of 83147 and 83155 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83147 and 83155. First we will calculate the prime factors of 83147 and 83155.

Prime Factorization of 83147

Prime factors of 83147 are 17, 67, 73. Prime factorization of 83147 in exponential form is:

83147 = 171 × 671 × 731

Prime Factorization of 83155

Prime factors of 83155 are 5, 16631. Prime factorization of 83155 in exponential form is:

83155 = 51 × 166311

Now multiplying the highest exponent prime factors to calculate the LCM of 83147 and 83155.

LCM(83147,83155) = 171 × 671 × 731 × 51 × 166311
LCM(83147,83155) = 6914088785