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What is the Least Common Multiple of 67778 and 67791?

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 67778 and 67791 is 4594738398.

LCM(67778,67791) = 4594738398

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Least Common Multiple of 67778 and 67791 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67778 and 67791, than apply into the LCM equation.

GCF(67778,67791) = 1
LCM(67778,67791) = ( 67778 × 67791) / 1
LCM(67778,67791) = 4594738398 / 1
LCM(67778,67791) = 4594738398

Least Common Multiple (LCM) of 67778 and 67791 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67778 and 67791. First we will calculate the prime factors of 67778 and 67791.

Prime Factorization of 67778

Prime factors of 67778 are 2, 33889. Prime factorization of 67778 in exponential form is:

67778 = 21 × 338891

Prime Factorization of 67791

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

67791 = 31 × 591 × 3831

Now multiplying the highest exponent prime factors to calculate the LCM of 67778 and 67791.

LCM(67778,67791) = 21 × 338891 × 31 × 591 × 3831
LCM(67778,67791) = 4594738398