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What is the Least Common Multiple of 3823 and 3834?

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 3823 and 3834 is 14657382.

LCM(3823,3834) = 14657382

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Least Common Multiple of 3823 and 3834 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3823 and 3834, than apply into the LCM equation.

GCF(3823,3834) = 1
LCM(3823,3834) = ( 3823 × 3834) / 1
LCM(3823,3834) = 14657382 / 1
LCM(3823,3834) = 14657382

Least Common Multiple (LCM) of 3823 and 3834 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3823 and 3834. First we will calculate the prime factors of 3823 and 3834.

Prime Factorization of 3823

Prime factors of 3823 are 3823. Prime factorization of 3823 in exponential form is:

3823 = 38231

Prime Factorization of 3834

Prime factors of 3834 are 2, 3, 71. Prime factorization of 3834 in exponential form is:

3834 = 21 × 33 × 711

Now multiplying the highest exponent prime factors to calculate the LCM of 3823 and 3834.

LCM(3823,3834) = 38231 × 21 × 33 × 711
LCM(3823,3834) = 14657382