Least Common Multiple of 2153 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 2153 and 2154 the smallest integer that is 4637562 that is divisible by both numbers.

Least Common Multiple (LCM) of 2153 and 2154 is 4637562.

LCM(2153,2154) = 4637562

LCM of 2153 and 2154

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

LCM of:
and

Least Common Multiple of 2153 and 2154

LCM of 2153 and 2154 is 4637562

Least common multiple can be found by multiplying the highest exponent prime factors of 2153 and 2154. First we will calculate the prime factors of 2153 and 2154.

Prime Factorization of 2153


2153 2153
1

Prime factors of 2153 are 2153. Prime factorization of 2153 in exponential form is:

2153 = 21531

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 2153 and 2154.

LCM(2153,2154) = 21×31×3591×21531
LCM(2153,2154) = 4637562

Factors of 2153

List of positive integer factors of 2153 that divides 2153 without a remainder.

1, 2153

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 2153 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 2153 and 2154, than apply into the LCM equation.

GCF(2153,2154) = 1
LCM(2153,2154) = ( 2153 × 2154) / 1
LCM(2153,2154) = 4637562 / 1
LCM(2153,2154) = 4637562

Properties of LCM 2153 and 2154

(i) The LCM of 2154 and 2153 is associative

LCM of 2153 and 2154 = LCM of 2154 and 2153

Related Least Common Multiples of 2153

Related Least Common Multiples of 2154

Frequently Asked Questions on LCM of 2153 and 2154

1. What is the LCM of 2153 and 2154?

Answer: LCM of 2153 and 2154 is 4637562.

2. What are the Factors of 2153?

Answer: Factors of 2153 are 1, 2153. There are 2 integers that are factors of 2153. The greatest factor of 2153 is 2153.

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 2153 and 2154?

Answer:

Least Common Multiple of 2153 and 2154 = 4637562

Step 1: Find the prime factorization of 2153

2153 = 2153

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 = 4637562 = 2 x 3 x 359 x 2153

Step 4: Therefore, the least common multiple of 2153 and 2154 is 4637562.