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What is the Least Common Multiple of 67791 and 67798?

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 67791 and 67798 is 4596094218.

LCM(67791,67798) = 4596094218

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Least Common Multiple of 67791 and 67798 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67791 and 67798, than apply into the LCM equation.

GCF(67791,67798) = 1
LCM(67791,67798) = ( 67791 × 67798) / 1
LCM(67791,67798) = 4596094218 / 1
LCM(67791,67798) = 4596094218

Least Common Multiple (LCM) of 67791 and 67798 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67791 and 67798. First we will calculate the prime factors of 67791 and 67798.

Prime Factorization of 67791

Prime factors of 67791 are 3, 59, 383. Prime factorization of 67791 in exponential form is:

67791 = 31 × 591 × 3831

Prime Factorization of 67798

Prime factors of 67798 are 2, 109, 311. Prime factorization of 67798 in exponential form is:

67798 = 21 × 1091 × 3111

Now multiplying the highest exponent prime factors to calculate the LCM of 67791 and 67798.

LCM(67791,67798) = 31 × 591 × 3831 × 21 × 1091 × 3111
LCM(67791,67798) = 4596094218