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What is the Least Common Multiple of 68867 and 68878?

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 68867 and 68878 is 4743421226.

LCM(68867,68878) = 4743421226

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Least Common Multiple of 68867 and 68878 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68867 and 68878, than apply into the LCM equation.

GCF(68867,68878) = 1
LCM(68867,68878) = ( 68867 × 68878) / 1
LCM(68867,68878) = 4743421226 / 1
LCM(68867,68878) = 4743421226

Least Common Multiple (LCM) of 68867 and 68878 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68867 and 68878. First we will calculate the prime factors of 68867 and 68878.

Prime Factorization of 68867

Prime factors of 68867 are 17, 4051. Prime factorization of 68867 in exponential form is:

68867 = 171 × 40511

Prime Factorization of 68878

Prime factors of 68878 are 2, 34439. Prime factorization of 68878 in exponential form is:

68878 = 21 × 344391

Now multiplying the highest exponent prime factors to calculate the LCM of 68867 and 68878.

LCM(68867,68878) = 171 × 40511 × 21 × 344391
LCM(68867,68878) = 4743421226