Least Common Multiple of 818 and 825

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 818 and 825 the smallest integer that is 674850 that is divisible by both numbers.

Least Common Multiple (LCM) of 818 and 825 is 674850.

LCM(818,825) = 674850

LCM of 818 and 825

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 818 and 825

LCM of 818 and 825 is 674850

Least common multiple can be found by multiplying the highest exponent prime factors of 818 and 825. First we will calculate the prime factors of 818 and 825.

Prime Factorization of 818


2 818
409 409
1

Prime factors of 818 are 2,409. Prime factorization of 818 in exponential form is:

818 = 21×4091

Prime Factorization of 825


3 825
5 275
5 55
11 11
1

Prime factors of 825 are 3, 5,11. Prime factorization of 825 in exponential form is:

825 = 31×52×111

Now multiplying the highest exponent prime factors to calculate the LCM of 818 and 825.

LCM(818,825) = 21×31×52×111×4091
LCM(818,825) = 674850

Factors of 818

List of positive integer factors of 818 that divides 818 without a remainder.

1, 2, 409, 818

Factors of 825

List of positive integer factors of 825 that divides 825 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Least Common Multiple of 818 and 825 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 818 and 825, than apply into the LCM equation.

GCF(818,825) = 1
LCM(818,825) = ( 818 × 825) / 1
LCM(818,825) = 674850 / 1
LCM(818,825) = 674850

Properties of LCM 818 and 825

(i) The LCM of 825 and 818 is associative

LCM of 818 and 825 = LCM of 825 and 818

Related Least Common Multiples of 818

Related Least Common Multiples of 825

Frequently Asked Questions on LCM of 818 and 825

1. What is the LCM of 818 and 825?

Answer: LCM of 818 and 825 is 674850.

2. What are the Factors of 818?

Answer: Factors of 818 are 1, 2, 409, 818. There are 4 integers that are factors of 818. The greatest factor of 818 is 818.

3. What are the Factors of 825?

Answer: Factors of 825 are 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825. There are 12 integers that are factors of 825. The greatest factor of 825 is 825.

4. How to Find the LCM of 818 and 825?

Answer:

Least Common Multiple of 818 and 825 = 674850

Step 1: Find the prime factorization of 818

818 = 2 x 409

Step 2: Find the prime factorization of 825

825 = 3 x 5 x 5 x 11

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 674850 = 2 x 3 x 5 x 5 x 11 x 409

Step 4: Therefore, the least common multiple of 818 and 825 is 674850.