Least Common Multiple of 2154 and 2158

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 2158 the smallest integer that is 2324166 that is divisible by both numbers.

Least Common Multiple (LCM) of 2154 and 2158 is 2324166.

LCM(2154,2158) = 2324166

LCM of 2154 and 2158

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

LCM of:
and

Least Common Multiple of 2154 and 2158

LCM of 2154 and 2158 is 2324166

Least common multiple can be found by multiplying the highest exponent prime factors of 2154 and 2158. First we will calculate the prime factors of 2154 and 2158.

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 2158


2 2158
13 1079
83 83
1

Prime factors of 2158 are 2, 13,83. Prime factorization of 2158 in exponential form is:

2158 = 21×131×831

Now multiplying the highest exponent prime factors to calculate the LCM of 2154 and 2158.

LCM(2154,2158) = 21×31×131×831×3591
LCM(2154,2158) = 2324166

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 2158

List of positive integer factors of 2158 that divides 2158 without a remainder.

1, 2, 13, 26, 83, 166, 1079, 2158

Least Common Multiple of 2154 and 2158 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 2158, than apply into the LCM equation.

GCF(2154,2158) = 2
LCM(2154,2158) = ( 2154 × 2158) / 2
LCM(2154,2158) = 4648332 / 2
LCM(2154,2158) = 2324166

Properties of LCM 2154 and 2158

(i) The LCM of 2158 and 2154 is associative

LCM of 2154 and 2158 = LCM of 2158 and 2154

Related Least Common Multiples of 2154

Related Least Common Multiples of 2158

Frequently Asked Questions on LCM of 2154 and 2158

1. What is the LCM of 2154 and 2158?

Answer: LCM of 2154 and 2158 is 2324166.

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 2158?

Answer: Factors of 2158 are 1, 2, 13, 26, 83, 166, 1079, 2158. There are 8 integers that are factors of 2158. The greatest factor of 2158 is 2158.

4. How to Find the LCM of 2154 and 2158?

Answer:

Least Common Multiple of 2154 and 2158 = 2324166

Step 1: Find the prime factorization of 2154

2154 = 2 x 3 x 359

Step 2: Find the prime factorization of 2158

2158 = 2 x 13 x 83

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

LCM = 2324166 = 2 x 3 x 13 x 83 x 359

Step 4: Therefore, the least common multiple of 2154 and 2158 is 2324166.