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What is the Least Common Multiple of 3825 and 3841?

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 3825 and 3841 is 14691825.

LCM(3825,3841) = 14691825

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Least Common Multiple of 3825 and 3841 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3825 and 3841, than apply into the LCM equation.

GCF(3825,3841) = 1
LCM(3825,3841) = ( 3825 × 3841) / 1
LCM(3825,3841) = 14691825 / 1
LCM(3825,3841) = 14691825

Least Common Multiple (LCM) of 3825 and 3841 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3825 and 3841. First we will calculate the prime factors of 3825 and 3841.

Prime Factorization of 3825

Prime factors of 3825 are 3, 5, 17. Prime factorization of 3825 in exponential form is:

3825 = 32 × 52 × 171

Prime Factorization of 3841

Prime factors of 3841 are 23, 167. Prime factorization of 3841 in exponential form is:

3841 = 231 × 1671

Now multiplying the highest exponent prime factors to calculate the LCM of 3825 and 3841.

LCM(3825,3841) = 32 × 52 × 171 × 231 × 1671
LCM(3825,3841) = 14691825