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What is the Least Common Multiple of 68794 and 68809?

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 68794 and 68809 is 4733646346.

LCM(68794,68809) = 4733646346

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Least Common Multiple of 68794 and 68809 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68794 and 68809, than apply into the LCM equation.

GCF(68794,68809) = 1
LCM(68794,68809) = ( 68794 × 68809) / 1
LCM(68794,68809) = 4733646346 / 1
LCM(68794,68809) = 4733646346

Least Common Multiple (LCM) of 68794 and 68809 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68794 and 68809. First we will calculate the prime factors of 68794 and 68809.

Prime Factorization of 68794

Prime factors of 68794 are 2, 11, 53, 59. Prime factorization of 68794 in exponential form is:

68794 = 21 × 111 × 531 × 591

Prime Factorization of 68809

Prime factors of 68809 are 13, 67, 79. Prime factorization of 68809 in exponential form is:

68809 = 131 × 671 × 791

Now multiplying the highest exponent prime factors to calculate the LCM of 68794 and 68809.

LCM(68794,68809) = 21 × 111 × 531 × 591 × 131 × 671 × 791
LCM(68794,68809) = 4733646346