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What is the Least Common Multiple of 55115 and 55131?

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 55115 and 55131 is 3038545065.

LCM(55115,55131) = 3038545065

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Least Common Multiple of 55115 and 55131 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55115 and 55131, than apply into the LCM equation.

GCF(55115,55131) = 1
LCM(55115,55131) = ( 55115 × 55131) / 1
LCM(55115,55131) = 3038545065 / 1
LCM(55115,55131) = 3038545065

Least Common Multiple (LCM) of 55115 and 55131 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55115 and 55131. First we will calculate the prime factors of 55115 and 55131.

Prime Factorization of 55115

Prime factors of 55115 are 5, 73, 151. Prime factorization of 55115 in exponential form is:

55115 = 51 × 731 × 1511

Prime Factorization of 55131

Prime factors of 55131 are 3, 17, 23, 47. Prime factorization of 55131 in exponential form is:

55131 = 31 × 171 × 231 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 55115 and 55131.

LCM(55115,55131) = 51 × 731 × 1511 × 31 × 171 × 231 × 471
LCM(55115,55131) = 3038545065