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What is the Least Common Multiple of 67696 and 67709?

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 67696 and 67709 is 4583628464.

LCM(67696,67709) = 4583628464

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Least Common Multiple of 67696 and 67709 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67696 and 67709, than apply into the LCM equation.

GCF(67696,67709) = 1
LCM(67696,67709) = ( 67696 × 67709) / 1
LCM(67696,67709) = 4583628464 / 1
LCM(67696,67709) = 4583628464

Least Common Multiple (LCM) of 67696 and 67709 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67696 and 67709. First we will calculate the prime factors of 67696 and 67709.

Prime Factorization of 67696

Prime factors of 67696 are 2, 4231. Prime factorization of 67696 in exponential form is:

67696 = 24 × 42311

Prime Factorization of 67709

Prime factors of 67709 are 67709. Prime factorization of 67709 in exponential form is:

67709 = 677091

Now multiplying the highest exponent prime factors to calculate the LCM of 67696 and 67709.

LCM(67696,67709) = 24 × 42311 × 677091
LCM(67696,67709) = 4583628464