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What is the Least Common Multiple of 3814 and 3825?

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 3814 and 3825 is 14588550.

LCM(3814,3825) = 14588550

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Least Common Multiple of 3814 and 3825 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3814 and 3825, than apply into the LCM equation.

GCF(3814,3825) = 1
LCM(3814,3825) = ( 3814 × 3825) / 1
LCM(3814,3825) = 14588550 / 1
LCM(3814,3825) = 14588550

Least Common Multiple (LCM) of 3814 and 3825 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3814 and 3825. First we will calculate the prime factors of 3814 and 3825.

Prime Factorization of 3814

Prime factors of 3814 are 2, 1907. Prime factorization of 3814 in exponential form is:

3814 = 21 × 19071

Prime Factorization of 3825

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

3825 = 32 × 52 × 171

Now multiplying the highest exponent prime factors to calculate the LCM of 3814 and 3825.

LCM(3814,3825) = 21 × 19071 × 32 × 52 × 171
LCM(3814,3825) = 14588550