Least Common Multiple of 2180 and 2188

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2180 and 2188 the smallest integer that is 1192460 that is divisible by both numbers.

Least Common Multiple (LCM) of 2180 and 2188 is 1192460.

LCM(2180,2188) = 1192460

LCM of 2180 and 2188

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

LCM of:
and

Least Common Multiple of 2180 and 2188

LCM of 2180 and 2188 is 1192460

Least common multiple can be found by multiplying the highest exponent prime factors of 2180 and 2188. First we will calculate the prime factors of 2180 and 2188.

Prime Factorization of 2180


2 2180
2 1090
5 545
109 109
1

Prime factors of 2180 are 2, 5,109. Prime factorization of 2180 in exponential form is:

2180 = 22×51×1091

Prime Factorization of 2188


2 2188
2 1094
547 547
1

Prime factors of 2188 are 2,547. Prime factorization of 2188 in exponential form is:

2188 = 22×5471

Now multiplying the highest exponent prime factors to calculate the LCM of 2180 and 2188.

LCM(2180,2188) = 22×51×1091×5471
LCM(2180,2188) = 1192460

Factors of 2180

List of positive integer factors of 2180 that divides 2180 without a remainder.

1, 2, 4, 5, 10, 20, 109, 218, 436, 545, 1090, 2180

Factors of 2188

List of positive integer factors of 2188 that divides 2188 without a remainder.

1, 2, 4, 547, 1094, 2188

Least Common Multiple of 2180 and 2188 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2180 and 2188, than apply into the LCM equation.

GCF(2180,2188) = 4
LCM(2180,2188) = ( 2180 × 2188) / 4
LCM(2180,2188) = 4769840 / 4
LCM(2180,2188) = 1192460

Properties of LCM 2180 and 2188

(i) The LCM of 2188 and 2180 is associative

LCM of 2180 and 2188 = LCM of 2188 and 2180

Related Least Common Multiples of 2180

Related Least Common Multiples of 2188

Frequently Asked Questions on LCM of 2180 and 2188

1. What is the LCM of 2180 and 2188?

Answer: LCM of 2180 and 2188 is 1192460.

2. What are the Factors of 2180?

Answer: Factors of 2180 are 1, 2, 4, 5, 10, 20, 109, 218, 436, 545, 1090, 2180. There are 12 integers that are factors of 2180. The greatest factor of 2180 is 2180.

3. What are the Factors of 2188?

Answer: Factors of 2188 are 1, 2, 4, 547, 1094, 2188. There are 6 integers that are factors of 2188. The greatest factor of 2188 is 2188.

4. How to Find the LCM of 2180 and 2188?

Answer:

Least Common Multiple of 2180 and 2188 = 1192460

Step 1: Find the prime factorization of 2180

2180 = 2 x 2 x 5 x 109

Step 2: Find the prime factorization of 2188

2188 = 2 x 2 x 547

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

LCM = 1192460 = 2 x 2 x 5 x 109 x 547

Step 4: Therefore, the least common multiple of 2180 and 2188 is 1192460.