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What is the Least Common Multiple of 3823 and 3830?

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 3830 is 14642090.

LCM(3823,3830) = 14642090

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Least Common Multiple of 3823 and 3830 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 3830, than apply into the LCM equation.

GCF(3823,3830) = 1
LCM(3823,3830) = ( 3823 × 3830) / 1
LCM(3823,3830) = 14642090 / 1
LCM(3823,3830) = 14642090

Least Common Multiple (LCM) of 3823 and 3830 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3823 and 3830. First we will calculate the prime factors of 3823 and 3830.

Prime Factorization of 3823

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

3823 = 38231

Prime Factorization of 3830

Prime factors of 3830 are 2, 5, 383. Prime factorization of 3830 in exponential form is:

3830 = 21 × 51 × 3831

Now multiplying the highest exponent prime factors to calculate the LCM of 3823 and 3830.

LCM(3823,3830) = 38231 × 21 × 51 × 3831
LCM(3823,3830) = 14642090