What is the Least Common Multiple of 3808 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 of 3808 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 3808 and 3825, than apply into the LCM equation.

GCF(3808,3825) = 17
LCM(3808,3825) = ( 3808 × 3825) / 17
LCM(3808,3825) = 14565600 / 17
LCM(3808,3825) = 856800

Least Common Multiple (LCM) of 3808 and 3825 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3808 and 3825. First we will calculate the prime factors of 3808 and 3825.

Prime Factorization of 3808

Prime Factorization of 3825

Now multiplying the highest exponent prime factors to calculate the LCM of 3808 and 3825.

LCM(3808,3825) = 2⁵ × 7¹ × 17¹ × 3² × 5²
LCM(3808,3825) = 856800