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What is the Least Common Multiple of 68878 and 68896?

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 68878 and 68896 is 2372709344.

LCM(68878,68896) = 2372709344

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Least Common Multiple of 68878 and 68896 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68878 and 68896, than apply into the LCM equation.

GCF(68878,68896) = 2
LCM(68878,68896) = ( 68878 × 68896) / 2
LCM(68878,68896) = 4745418688 / 2
LCM(68878,68896) = 2372709344

Least Common Multiple (LCM) of 68878 and 68896 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68878 and 68896. First we will calculate the prime factors of 68878 and 68896.

Prime Factorization of 68878

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

68878 = 21 × 344391

Prime Factorization of 68896

Prime factors of 68896 are 2, 2153. Prime factorization of 68896 in exponential form is:

68896 = 25 × 21531

Now multiplying the highest exponent prime factors to calculate the LCM of 68878 and 68896.

LCM(68878,68896) = 25 × 344391 × 21531
LCM(68878,68896) = 2372709344