Least Common Multiple of 2152 and 2155

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2152 and 2155 the smallest integer that is 4637560 that is divisible by both numbers.

Least Common Multiple (LCM) of 2152 and 2155 is 4637560.

LCM(2152,2155) = 4637560

LCM of 2152 and 2155

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

LCM of:
and

Least Common Multiple of 2152 and 2155

LCM of 2152 and 2155 is 4637560

Least common multiple can be found by multiplying the highest exponent prime factors of 2152 and 2155. First we will calculate the prime factors of 2152 and 2155.

Prime Factorization of 2152


2 2152
2 1076
2 538
269 269
1

Prime factors of 2152 are 2,269. Prime factorization of 2152 in exponential form is:

2152 = 23×2691

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2152 and 2155.

LCM(2152,2155) = 23×51×2691×4311
LCM(2152,2155) = 4637560

Factors of 2152

List of positive integer factors of 2152 that divides 2152 without a remainder.

1, 2, 4, 8, 269, 538, 1076, 2152

Factors of 2155

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

1, 5, 431, 2155

Least Common Multiple of 2152 and 2155 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2152 and 2155, than apply into the LCM equation.

GCF(2152,2155) = 1
LCM(2152,2155) = ( 2152 × 2155) / 1
LCM(2152,2155) = 4637560 / 1
LCM(2152,2155) = 4637560

Properties of LCM 2152 and 2155

(i) The LCM of 2155 and 2152 is associative

LCM of 2152 and 2155 = LCM of 2155 and 2152

Related Least Common Multiples of 2152

Related Least Common Multiples of 2155

Frequently Asked Questions on LCM of 2152 and 2155

1. What is the LCM of 2152 and 2155?

Answer: LCM of 2152 and 2155 is 4637560.

2. What are the Factors of 2152?

Answer: Factors of 2152 are 1, 2, 4, 8, 269, 538, 1076, 2152. There are 8 integers that are factors of 2152. The greatest factor of 2152 is 2152.

3. 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.

4. How to Find the LCM of 2152 and 2155?

Answer:

Least Common Multiple of 2152 and 2155 = 4637560

Step 1: Find the prime factorization of 2152

2152 = 2 x 2 x 2 x 269

Step 2: Find the prime factorization of 2155

2155 = 5 x 431

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

LCM = 4637560 = 2 x 2 x 2 x 5 x 269 x 431

Step 4: Therefore, the least common multiple of 2152 and 2155 is 4637560.