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What is the Least Common Multiple of 68857 and 68869?

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 68857 and 68869 is 4742112733.

LCM(68857,68869) = 4742112733

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Least Common Multiple of 68857 and 68869 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68857 and 68869, than apply into the LCM equation.

GCF(68857,68869) = 1
LCM(68857,68869) = ( 68857 × 68869) / 1
LCM(68857,68869) = 4742112733 / 1
LCM(68857,68869) = 4742112733

Least Common Multiple (LCM) of 68857 and 68869 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68857 and 68869. First we will calculate the prime factors of 68857 and 68869.

Prime Factorization of 68857

Prime factors of 68857 are 37, 1861. Prime factorization of 68857 in exponential form is:

68857 = 371 × 18611

Prime Factorization of 68869

Prime factors of 68869 are 61, 1129. Prime factorization of 68869 in exponential form is:

68869 = 611 × 11291

Now multiplying the highest exponent prime factors to calculate the LCM of 68857 and 68869.

LCM(68857,68869) = 371 × 18611 × 611 × 11291
LCM(68857,68869) = 4742112733