Least Common Multiple of 2189 and 2195

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2189 and 2195 the smallest integer that is 4804855 that is divisible by both numbers.

Least Common Multiple (LCM) of 2189 and 2195 is 4804855.

LCM(2189,2195) = 4804855

LCM of 2189 and 2195

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

LCM of:
and

Least Common Multiple of 2189 and 2195

LCM of 2189 and 2195 is 4804855

Least common multiple can be found by multiplying the highest exponent prime factors of 2189 and 2195. First we will calculate the prime factors of 2189 and 2195.

Prime Factorization of 2189


11 2189
199 199
1

Prime factors of 2189 are 11,199. Prime factorization of 2189 in exponential form is:

2189 = 111×1991

Prime Factorization of 2195


5 2195
439 439
1

Prime factors of 2195 are 5,439. Prime factorization of 2195 in exponential form is:

2195 = 51×4391

Now multiplying the highest exponent prime factors to calculate the LCM of 2189 and 2195.

LCM(2189,2195) = 51×111×1991×4391
LCM(2189,2195) = 4804855

Factors of 2189

List of positive integer factors of 2189 that divides 2189 without a remainder.

1, 11, 199, 2189

Factors of 2195

List of positive integer factors of 2195 that divides 2195 without a remainder.

1, 5, 439, 2195

Least Common Multiple of 2189 and 2195 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2189 and 2195, than apply into the LCM equation.

GCF(2189,2195) = 1
LCM(2189,2195) = ( 2189 × 2195) / 1
LCM(2189,2195) = 4804855 / 1
LCM(2189,2195) = 4804855

Properties of LCM 2189 and 2195

(i) The LCM of 2195 and 2189 is associative

LCM of 2189 and 2195 = LCM of 2195 and 2189

Related Least Common Multiples of 2189

Related Least Common Multiples of 2195

Frequently Asked Questions on LCM of 2189 and 2195

1. What is the LCM of 2189 and 2195?

Answer: LCM of 2189 and 2195 is 4804855.

2. What are the Factors of 2189?

Answer: Factors of 2189 are 1, 11, 199, 2189. There are 4 integers that are factors of 2189. The greatest factor of 2189 is 2189.

3. What are the Factors of 2195?

Answer: Factors of 2195 are 1, 5, 439, 2195. There are 4 integers that are factors of 2195. The greatest factor of 2195 is 2195.

4. How to Find the LCM of 2189 and 2195?

Answer:

Least Common Multiple of 2189 and 2195 = 4804855

Step 1: Find the prime factorization of 2189

2189 = 11 x 199

Step 2: Find the prime factorization of 2195

2195 = 5 x 439

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

LCM = 4804855 = 5 x 11 x 199 x 439

Step 4: Therefore, the least common multiple of 2189 and 2195 is 4804855.