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What is the Least Common Multiple of 68799 and 68819?

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 68799 and 68819 is 4734678381.

LCM(68799,68819) = 4734678381

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Least Common Multiple of 68799 and 68819 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68799 and 68819, than apply into the LCM equation.

GCF(68799,68819) = 1
LCM(68799,68819) = ( 68799 × 68819) / 1
LCM(68799,68819) = 4734678381 / 1
LCM(68799,68819) = 4734678381

Least Common Multiple (LCM) of 68799 and 68819 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68799 and 68819. First we will calculate the prime factors of 68799 and 68819.

Prime Factorization of 68799

Prime factors of 68799 are 3, 17, 19, 71. Prime factorization of 68799 in exponential form is:

68799 = 31 × 171 × 191 × 711

Prime Factorization of 68819

Prime factors of 68819 are 68819. Prime factorization of 68819 in exponential form is:

68819 = 688191

Now multiplying the highest exponent prime factors to calculate the LCM of 68799 and 68819.

LCM(68799,68819) = 31 × 171 × 191 × 711 × 688191
LCM(68799,68819) = 4734678381