Least Common Multiple of 2154 and 2162

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Free LCM Calculator determines the least common multiple (LCM) between 2154 and 2162 the smallest integer that is 2328474 that is divisible by both numbers.

Least Common Multiple (LCM) of 2154 and 2162 is 2328474.

LCM(2154,2162) = 2328474

LCM of 2154 and 2162

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

LCM of:
and

Least Common Multiple of 2154 and 2162

LCM of 2154 and 2162 is 2328474

Least common multiple can be found by multiplying the highest exponent prime factors of 2154 and 2162. First we will calculate the prime factors of 2154 and 2162.

Prime Factorization of 2154


2 2154
3 1077
359 359
1

Prime factors of 2154 are 2, 3,359. Prime factorization of 2154 in exponential form is:

2154 = 21×31×3591

Prime Factorization of 2162


2 2162
23 1081
47 47
1

Prime factors of 2162 are 2, 23,47. Prime factorization of 2162 in exponential form is:

2162 = 21×231×471

Now multiplying the highest exponent prime factors to calculate the LCM of 2154 and 2162.

LCM(2154,2162) = 21×31×231×471×3591
LCM(2154,2162) = 2328474

Factors of 2154

List of positive integer factors of 2154 that divides 2154 without a remainder.

1, 2, 3, 6, 359, 718, 1077, 2154

Factors of 2162

List of positive integer factors of 2162 that divides 2162 without a remainder.

1, 2, 23, 46, 47, 94, 1081, 2162

Least Common Multiple of 2154 and 2162 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2154 and 2162, than apply into the LCM equation.

GCF(2154,2162) = 2
LCM(2154,2162) = ( 2154 × 2162) / 2
LCM(2154,2162) = 4656948 / 2
LCM(2154,2162) = 2328474

Properties of LCM 2154 and 2162

(i) The LCM of 2162 and 2154 is associative

LCM of 2154 and 2162 = LCM of 2162 and 2154

Frequently Asked Questions on LCM of 2154 and 2162

1. What is the LCM of 2154 and 2162?

Answer: LCM of 2154 and 2162 is 2328474.

2. What are the Factors of 2154?

Answer: Factors of 2154 are 1, 2, 3, 6, 359, 718, 1077, 2154. There are 8 integers that are factors of 2154. The greatest factor of 2154 is 2154.

3. What are the Factors of 2162?

Answer: Factors of 2162 are 1, 2, 23, 46, 47, 94, 1081, 2162. There are 8 integers that are factors of 2162. The greatest factor of 2162 is 2162.

4. How to Find the LCM of 2154 and 2162?

Answer:

Least Common Multiple of 2154 and 2162 = 2328474

Step 1: Find the prime factorization of 2154

2154 = 2 x 3 x 359

Step 2: Find the prime factorization of 2162

2162 = 2 x 23 x 47

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

LCM = 2328474 = 2 x 3 x 23 x 47 x 359

Step 4: Therefore, the least common multiple of 2154 and 2162 is 2328474.