Least Common Multiple of 1818 and 1825

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1818 and 1825 the smallest integer that is 3317850 that is divisible by both numbers.

Least Common Multiple (LCM) of 1818 and 1825 is 3317850.

LCM(1818,1825) = 3317850

LCM of 1818 and 1825

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

LCM of:
and

Least Common Multiple of 1818 and 1825

LCM of 1818 and 1825 is 3317850

Least common multiple can be found by multiplying the highest exponent prime factors of 1818 and 1825. First we will calculate the prime factors of 1818 and 1825.

Prime Factorization of 1818


2 1818
3 909
3 303
101 101
1

Prime factors of 1818 are 2, 3,101. Prime factorization of 1818 in exponential form is:

1818 = 21×32×1011

Prime Factorization of 1825


5 1825
5 365
73 73
1

Prime factors of 1825 are 5,73. Prime factorization of 1825 in exponential form is:

1825 = 52×731

Now multiplying the highest exponent prime factors to calculate the LCM of 1818 and 1825.

LCM(1818,1825) = 21×32×52×731×1011
LCM(1818,1825) = 3317850

Factors of 1818

List of positive integer factors of 1818 that divides 1818 without a remainder.

1, 2, 3, 6, 9, 18, 101, 202, 303, 606, 909, 1818

Factors of 1825

List of positive integer factors of 1825 that divides 1825 without a remainder.

1, 5, 25, 73, 365, 1825

Least Common Multiple of 1818 and 1825 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1818 and 1825, than apply into the LCM equation.

GCF(1818,1825) = 1
LCM(1818,1825) = ( 1818 × 1825) / 1
LCM(1818,1825) = 3317850 / 1
LCM(1818,1825) = 3317850

Properties of LCM 1818 and 1825

(i) The LCM of 1825 and 1818 is associative

LCM of 1818 and 1825 = LCM of 1825 and 1818

Related Least Common Multiples of 1818

Related Least Common Multiples of 1825

Frequently Asked Questions on LCM of 1818 and 1825

1. What is the LCM of 1818 and 1825?

Answer: LCM of 1818 and 1825 is 3317850.

2. What are the Factors of 1818?

Answer: Factors of 1818 are 1, 2, 3, 6, 9, 18, 101, 202, 303, 606, 909, 1818. There are 12 integers that are factors of 1818. The greatest factor of 1818 is 1818.

3. What are the Factors of 1825?

Answer: Factors of 1825 are 1, 5, 25, 73, 365, 1825. There are 6 integers that are factors of 1825. The greatest factor of 1825 is 1825.

4. How to Find the LCM of 1818 and 1825?

Answer:

Least Common Multiple of 1818 and 1825 = 3317850

Step 1: Find the prime factorization of 1818

1818 = 2 x 3 x 3 x 101

Step 2: Find the prime factorization of 1825

1825 = 5 x 5 x 73

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

LCM = 3317850 = 2 x 3 x 3 x 5 x 5 x 73 x 101

Step 4: Therefore, the least common multiple of 1818 and 1825 is 3317850.