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What is the Least Common Multiple of 68884 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 68884 and 68896 is 1186458016.

LCM(68884,68896) = 1186458016

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Least Common Multiple of 68884 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 68884 and 68896, than apply into the LCM equation.

GCF(68884,68896) = 4
LCM(68884,68896) = ( 68884 × 68896) / 4
LCM(68884,68896) = 4745832064 / 4
LCM(68884,68896) = 1186458016

Least Common Multiple (LCM) of 68884 and 68896 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68884 and 68896. First we will calculate the prime factors of 68884 and 68896.

Prime Factorization of 68884

Prime factors of 68884 are 2, 17, 1013. Prime factorization of 68884 in exponential form is:

68884 = 22 × 171 × 10131

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 68884 and 68896.

LCM(68884,68896) = 25 × 171 × 10131 × 21531
LCM(68884,68896) = 1186458016