Least Common Multiple of 2148 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 2148 and 2155 the smallest integer that is 4628940 that is divisible by both numbers.

Least Common Multiple (LCM) of 2148 and 2155 is 4628940.

LCM(2148,2155) = 4628940

LCM of 2148 and 2155

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

LCM of:
and

Least Common Multiple of 2148 and 2155

LCM of 2148 and 2155 is 4628940

Least common multiple can be found by multiplying the highest exponent prime factors of 2148 and 2155. First we will calculate the prime factors of 2148 and 2155.

Prime Factorization of 2148


2 2148
2 1074
3 537
179 179
1

Prime factors of 2148 are 2, 3,179. Prime factorization of 2148 in exponential form is:

2148 = 22×31×1791

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 2148 and 2155.

LCM(2148,2155) = 22×31×51×1791×4311
LCM(2148,2155) = 4628940

Factors of 2148

List of positive integer factors of 2148 that divides 2148 without a remainder.

1, 2, 3, 4, 6, 12, 179, 358, 537, 716, 1074, 2148

Factors of 2155

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

1, 5, 431, 2155

Least Common Multiple of 2148 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 2148 and 2155, than apply into the LCM equation.

GCF(2148,2155) = 1
LCM(2148,2155) = ( 2148 × 2155) / 1
LCM(2148,2155) = 4628940 / 1
LCM(2148,2155) = 4628940

Properties of LCM 2148 and 2155

(i) The LCM of 2155 and 2148 is associative

LCM of 2148 and 2155 = LCM of 2155 and 2148

Related Least Common Multiples of 2148

Related Least Common Multiples of 2155

Frequently Asked Questions on LCM of 2148 and 2155

1. What is the LCM of 2148 and 2155?

Answer: LCM of 2148 and 2155 is 4628940.

2. What are the Factors of 2148?

Answer: Factors of 2148 are 1, 2, 3, 4, 6, 12, 179, 358, 537, 716, 1074, 2148. There are 12 integers that are factors of 2148. The greatest factor of 2148 is 2148.

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 2148 and 2155?

Answer:

Least Common Multiple of 2148 and 2155 = 4628940

Step 1: Find the prime factorization of 2148

2148 = 2 x 2 x 3 x 179

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 = 4628940 = 2 x 2 x 3 x 5 x 179 x 431

Step 4: Therefore, the least common multiple of 2148 and 2155 is 4628940.