Least Common Multiple of 2155 and 2159

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Free LCM Calculator determines the least common multiple (LCM) between 2155 and 2159 the smallest integer that is 4652645 that is divisible by both numbers.

Least Common Multiple (LCM) of 2155 and 2159 is 4652645.

LCM(2155,2159) = 4652645

LCM of 2155 and 2159

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

LCM of:
and

Least Common Multiple of 2155 and 2159

LCM of 2155 and 2159 is 4652645

Least common multiple can be found by multiplying the highest exponent prime factors of 2155 and 2159. First we will calculate the prime factors of 2155 and 2159.

Prime Factorization of 2155


5 2155
431 431
1

Prime factors of 2155 are 5,431. Prime factorization of 2155 in exponential form is:

2155 = 51×4311

Prime Factorization of 2159


17 2159
127 127
1

Prime factors of 2159 are 17,127. Prime factorization of 2159 in exponential form is:

2159 = 171×1271

Now multiplying the highest exponent prime factors to calculate the LCM of 2155 and 2159.

LCM(2155,2159) = 51×171×1271×4311
LCM(2155,2159) = 4652645

Factors of 2155

List of positive integer factors of 2155 that divides 2155 without a remainder.

1, 5, 431, 2155

Factors of 2159

List of positive integer factors of 2159 that divides 2159 without a remainder.

1, 17, 127, 2159

Least Common Multiple of 2155 and 2159 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2155 and 2159, than apply into the LCM equation.

GCF(2155,2159) = 1
LCM(2155,2159) = ( 2155 × 2159) / 1
LCM(2155,2159) = 4652645 / 1
LCM(2155,2159) = 4652645

Properties of LCM 2155 and 2159

(i) The LCM of 2159 and 2155 is associative

LCM of 2155 and 2159 = LCM of 2159 and 2155

Frequently Asked Questions on LCM of 2155 and 2159

1. What is the LCM of 2155 and 2159?

Answer: LCM of 2155 and 2159 is 4652645.

2. What are the Factors of 2155?

Answer: Factors of 2155 are 1, 5, 431, 2155. There are 4 integers that are factors of 2155. The greatest factor of 2155 is 2155.

3. What are the Factors of 2159?

Answer: Factors of 2159 are 1, 17, 127, 2159. There are 4 integers that are factors of 2159. The greatest factor of 2159 is 2159.

4. How to Find the LCM of 2155 and 2159?

Answer:

Least Common Multiple of 2155 and 2159 = 4652645

Step 1: Find the prime factorization of 2155

2155 = 5 x 431

Step 2: Find the prime factorization of 2159

2159 = 17 x 127

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

LCM = 4652645 = 5 x 17 x 127 x 431

Step 4: Therefore, the least common multiple of 2155 and 2159 is 4652645.