Least Common Multiple of 2178 and 2181

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2178 and 2181 the smallest integer that is 1583406 that is divisible by both numbers.

Least Common Multiple (LCM) of 2178 and 2181 is 1583406.

LCM(2178,2181) = 1583406

LCM of 2178 and 2181

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

LCM of:
and

Least Common Multiple of 2178 and 2181

LCM of 2178 and 2181 is 1583406

Least common multiple can be found by multiplying the highest exponent prime factors of 2178 and 2181. First we will calculate the prime factors of 2178 and 2181.

Prime Factorization of 2178


2 2178
3 1089
3 363
11 121
11 11
1

Prime factors of 2178 are 2, 3,11. Prime factorization of 2178 in exponential form is:

2178 = 21×32×112

Prime Factorization of 2181


3 2181
727 727
1

Prime factors of 2181 are 3,727. Prime factorization of 2181 in exponential form is:

2181 = 31×7271

Now multiplying the highest exponent prime factors to calculate the LCM of 2178 and 2181.

LCM(2178,2181) = 21×32×112×7271
LCM(2178,2181) = 1583406

Factors of 2178

List of positive integer factors of 2178 that divides 2178 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 121, 198, 242, 363, 726, 1089, 2178

Factors of 2181

List of positive integer factors of 2181 that divides 2181 without a remainder.

1, 3, 727, 2181

Least Common Multiple of 2178 and 2181 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2178 and 2181, than apply into the LCM equation.

GCF(2178,2181) = 3
LCM(2178,2181) = ( 2178 × 2181) / 3
LCM(2178,2181) = 4750218 / 3
LCM(2178,2181) = 1583406

Properties of LCM 2178 and 2181

(i) The LCM of 2181 and 2178 is associative

LCM of 2178 and 2181 = LCM of 2181 and 2178

Related Least Common Multiples of 2178

Related Least Common Multiples of 2181

Frequently Asked Questions on LCM of 2178 and 2181

1. What is the LCM of 2178 and 2181?

Answer: LCM of 2178 and 2181 is 1583406.

2. What are the Factors of 2178?

Answer: Factors of 2178 are 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 121, 198, 242, 363, 726, 1089, 2178. There are 18 integers that are factors of 2178. The greatest factor of 2178 is 2178.

3. What are the Factors of 2181?

Answer: Factors of 2181 are 1, 3, 727, 2181. There are 4 integers that are factors of 2181. The greatest factor of 2181 is 2181.

4. How to Find the LCM of 2178 and 2181?

Answer:

Least Common Multiple of 2178 and 2181 = 1583406

Step 1: Find the prime factorization of 2178

2178 = 2 x 3 x 3 x 11 x 11

Step 2: Find the prime factorization of 2181

2181 = 3 x 727

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

LCM = 1583406 = 2 x 3 x 3 x 11 x 11 x 727

Step 4: Therefore, the least common multiple of 2178 and 2181 is 1583406.