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What is the Least Common Multiple of 67840 and 67846?

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 67840 and 67846 is 2301336320.

LCM(67840,67846) = 2301336320

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Least Common Multiple of 67840 and 67846 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67840 and 67846, than apply into the LCM equation.

GCF(67840,67846) = 2
LCM(67840,67846) = ( 67840 × 67846) / 2
LCM(67840,67846) = 4602672640 / 2
LCM(67840,67846) = 2301336320

Least Common Multiple (LCM) of 67840 and 67846 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67840 and 67846. First we will calculate the prime factors of 67840 and 67846.

Prime Factorization of 67840

Prime factors of 67840 are 2, 5, 53. Prime factorization of 67840 in exponential form is:

67840 = 28 × 51 × 531

Prime Factorization of 67846

Prime factors of 67846 are 2, 33923. Prime factorization of 67846 in exponential form is:

67846 = 21 × 339231

Now multiplying the highest exponent prime factors to calculate the LCM of 67840 and 67846.

LCM(67840,67846) = 28 × 51 × 531 × 339231
LCM(67840,67846) = 2301336320