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What is the Least Common Multiple of 3825 and 3845?

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 3845 is 2941425.

LCM(3825,3845) = 2941425

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Least Common Multiple of 3825 and 3845 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 3845, than apply into the LCM equation.

GCF(3825,3845) = 5
LCM(3825,3845) = ( 3825 × 3845) / 5
LCM(3825,3845) = 14707125 / 5
LCM(3825,3845) = 2941425

Least Common Multiple (LCM) of 3825 and 3845 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3825 and 3845. First we will calculate the prime factors of 3825 and 3845.

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 3845

Prime factors of 3845 are 5, 769. Prime factorization of 3845 in exponential form is:

3845 = 51 × 7691

Now multiplying the highest exponent prime factors to calculate the LCM of 3825 and 3845.

LCM(3825,3845) = 32 × 52 × 171 × 7691
LCM(3825,3845) = 2941425