What is the Least Common Multiple of 3825 and 3834?

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 3825 and 3834 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 3834, than apply into the LCM equation.

GCF(3825,3834) = 9
LCM(3825,3834) = ( 3825 × 3834) / 9
LCM(3825,3834) = 14665050 / 9
LCM(3825,3834) = 1629450

Least Common Multiple (LCM) of 3825 and 3834 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3825 and 3834. First we will calculate the prime factors of 3825 and 3834.

Prime Factorization of 3825

Prime Factorization of 3834

Now multiplying the highest exponent prime factors to calculate the LCM of 3825 and 3834.

LCM(3825,3834) = 3³ × 5² × 17¹ × 2¹ × 71¹
LCM(3825,3834) = 1629450