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What is the Least Common Multiple of 67696 and 67714?

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 67714 is 2291983472.

LCM(67696,67714) = 2291983472

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Least Common Multiple of 67696 and 67714 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 67714, than apply into the LCM equation.

GCF(67696,67714) = 2
LCM(67696,67714) = ( 67696 × 67714) / 2
LCM(67696,67714) = 4583966944 / 2
LCM(67696,67714) = 2291983472

Least Common Multiple (LCM) of 67696 and 67714 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67696 and 67714. First we will calculate the prime factors of 67696 and 67714.

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 67714

Prime factors of 67714 are 2, 33857. Prime factorization of 67714 in exponential form is:

67714 = 21 × 338571

Now multiplying the highest exponent prime factors to calculate the LCM of 67696 and 67714.

LCM(67696,67714) = 24 × 42311 × 338571
LCM(67696,67714) = 2291983472