Least Common Multiple of 2146 and 2154

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2146 and 2154 the smallest integer that is 2311242 that is divisible by both numbers.

Least Common Multiple (LCM) of 2146 and 2154 is 2311242.

LCM(2146,2154) = 2311242

LCM of 2146 and 2154

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

LCM of:
and

Least Common Multiple of 2146 and 2154

LCM of 2146 and 2154 is 2311242

Least common multiple can be found by multiplying the highest exponent prime factors of 2146 and 2154. First we will calculate the prime factors of 2146 and 2154.

Prime Factorization of 2146


2 2146
29 1073
37 37
1

Prime factors of 2146 are 2, 29,37. Prime factorization of 2146 in exponential form is:

2146 = 21×291×371

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2146 and 2154.

LCM(2146,2154) = 21×31×291×371×3591
LCM(2146,2154) = 2311242

Factors of 2146

List of positive integer factors of 2146 that divides 2146 without a remainder.

1, 2, 29, 37, 58, 74, 1073, 2146

Factors of 2154

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

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

Least Common Multiple of 2146 and 2154 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2146 and 2154, than apply into the LCM equation.

GCF(2146,2154) = 2
LCM(2146,2154) = ( 2146 × 2154) / 2
LCM(2146,2154) = 4622484 / 2
LCM(2146,2154) = 2311242

Properties of LCM 2146 and 2154

(i) The LCM of 2154 and 2146 is associative

LCM of 2146 and 2154 = LCM of 2154 and 2146

Related Least Common Multiples of 2146

Related Least Common Multiples of 2154

Frequently Asked Questions on LCM of 2146 and 2154

1. What is the LCM of 2146 and 2154?

Answer: LCM of 2146 and 2154 is 2311242.

2. What are the Factors of 2146?

Answer: Factors of 2146 are 1, 2, 29, 37, 58, 74, 1073, 2146. There are 8 integers that are factors of 2146. The greatest factor of 2146 is 2146.

3. 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.

4. How to Find the LCM of 2146 and 2154?

Answer:

Least Common Multiple of 2146 and 2154 = 2311242

Step 1: Find the prime factorization of 2146

2146 = 2 x 29 x 37

Step 2: Find the prime factorization of 2154

2154 = 2 x 3 x 359

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

LCM = 2311242 = 2 x 3 x 29 x 37 x 359

Step 4: Therefore, the least common multiple of 2146 and 2154 is 2311242.