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What is the Least Common Multiple of 68147 and 68155?

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 68147 and 68155 is 4644558785.

LCM(68147,68155) = 4644558785

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Least Common Multiple of 68147 and 68155 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68147 and 68155, than apply into the LCM equation.

GCF(68147,68155) = 1
LCM(68147,68155) = ( 68147 × 68155) / 1
LCM(68147,68155) = 4644558785 / 1
LCM(68147,68155) = 4644558785

Least Common Multiple (LCM) of 68147 and 68155 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68147 and 68155. First we will calculate the prime factors of 68147 and 68155.

Prime Factorization of 68147

Prime factors of 68147 are 68147. Prime factorization of 68147 in exponential form is:

68147 = 681471

Prime Factorization of 68155

Prime factors of 68155 are 5, 43, 317. Prime factorization of 68155 in exponential form is:

68155 = 51 × 431 × 3171

Now multiplying the highest exponent prime factors to calculate the LCM of 68147 and 68155.

LCM(68147,68155) = 681471 × 51 × 431 × 3171
LCM(68147,68155) = 4644558785