Least Common Multiple of 2153 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 2153 and 2158 the smallest integer that is 4646174 that is divisible by both numbers.

Least Common Multiple (LCM) of 2153 and 2158 is 4646174.

LCM(2153,2158) = 4646174

LCM of 2153 and 2158

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

LCM of:
and

Least Common Multiple of 2153 and 2158

LCM of 2153 and 2158 is 4646174

Least common multiple can be found by multiplying the highest exponent prime factors of 2153 and 2158. First we will calculate the prime factors of 2153 and 2158.

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 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 2153 and 2158.

LCM(2153,2158) = 21×131×831×21531
LCM(2153,2158) = 4646174

Factors of 2153

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

1, 2153

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 2153 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 2153 and 2158, than apply into the LCM equation.

GCF(2153,2158) = 1
LCM(2153,2158) = ( 2153 × 2158) / 1
LCM(2153,2158) = 4646174 / 1
LCM(2153,2158) = 4646174

Properties of LCM 2153 and 2158

(i) The LCM of 2158 and 2153 is associative

LCM of 2153 and 2158 = LCM of 2158 and 2153

Related Least Common Multiples of 2153

Related Least Common Multiples of 2158

Frequently Asked Questions on LCM of 2153 and 2158

1. What is the LCM of 2153 and 2158?

Answer: LCM of 2153 and 2158 is 4646174.

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 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 2153 and 2158?

Answer:

Least Common Multiple of 2153 and 2158 = 4646174

Step 1: Find the prime factorization of 2153

2153 = 2153

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 = 4646174 = 2 x 13 x 83 x 2153

Step 4: Therefore, the least common multiple of 2153 and 2158 is 4646174.