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What is the Least Common Multiple of 67846 and 67861?

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 67846 and 67861 is 4604097406.

LCM(67846,67861) = 4604097406

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Least Common Multiple of 67846 and 67861 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67846 and 67861, than apply into the LCM equation.

GCF(67846,67861) = 1
LCM(67846,67861) = ( 67846 × 67861) / 1
LCM(67846,67861) = 4604097406 / 1
LCM(67846,67861) = 4604097406

Least Common Multiple (LCM) of 67846 and 67861 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67846 and 67861. First we will calculate the prime factors of 67846 and 67861.

Prime Factorization of 67846

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

67846 = 21 × 339231

Prime Factorization of 67861

Prime factors of 67861 are 79, 859. Prime factorization of 67861 in exponential form is:

67861 = 791 × 8591

Now multiplying the highest exponent prime factors to calculate the LCM of 67846 and 67861.

LCM(67846,67861) = 21 × 339231 × 791 × 8591
LCM(67846,67861) = 4604097406