Least Common Multiple of 2182 and 2190

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2182 and 2190 the smallest integer that is 2389290 that is divisible by both numbers.

Least Common Multiple (LCM) of 2182 and 2190 is 2389290.

LCM(2182,2190) = 2389290

LCM of 2182 and 2190

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

LCM of:
and

Least Common Multiple of 2182 and 2190

LCM of 2182 and 2190 is 2389290

Least common multiple can be found by multiplying the highest exponent prime factors of 2182 and 2190. First we will calculate the prime factors of 2182 and 2190.

Prime Factorization of 2182


2 2182
1091 1091
1

Prime factors of 2182 are 2,1091. Prime factorization of 2182 in exponential form is:

2182 = 21×10911

Prime Factorization of 2190


2 2190
3 1095
5 365
73 73
1

Prime factors of 2190 are 2, 3, 5,73. Prime factorization of 2190 in exponential form is:

2190 = 21×31×51×731

Now multiplying the highest exponent prime factors to calculate the LCM of 2182 and 2190.

LCM(2182,2190) = 21×31×51×731×10911
LCM(2182,2190) = 2389290

Factors of 2182

List of positive integer factors of 2182 that divides 2182 without a remainder.

1, 2, 1091, 2182

Factors of 2190

List of positive integer factors of 2190 that divides 2190 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 73, 146, 219, 365, 438, 730, 1095, 2190

Least Common Multiple of 2182 and 2190 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2182 and 2190, than apply into the LCM equation.

GCF(2182,2190) = 2
LCM(2182,2190) = ( 2182 × 2190) / 2
LCM(2182,2190) = 4778580 / 2
LCM(2182,2190) = 2389290

Properties of LCM 2182 and 2190

(i) The LCM of 2190 and 2182 is associative

LCM of 2182 and 2190 = LCM of 2190 and 2182

Related Least Common Multiples of 2182

Related Least Common Multiples of 2190

Frequently Asked Questions on LCM of 2182 and 2190

1. What is the LCM of 2182 and 2190?

Answer: LCM of 2182 and 2190 is 2389290.

2. What are the Factors of 2182?

Answer: Factors of 2182 are 1, 2, 1091, 2182. There are 4 integers that are factors of 2182. The greatest factor of 2182 is 2182.

3. What are the Factors of 2190?

Answer: Factors of 2190 are 1, 2, 3, 5, 6, 10, 15, 30, 73, 146, 219, 365, 438, 730, 1095, 2190. There are 16 integers that are factors of 2190. The greatest factor of 2190 is 2190.

4. How to Find the LCM of 2182 and 2190?

Answer:

Least Common Multiple of 2182 and 2190 = 2389290

Step 1: Find the prime factorization of 2182

2182 = 2 x 1091

Step 2: Find the prime factorization of 2190

2190 = 2 x 3 x 5 x 73

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

LCM = 2389290 = 2 x 3 x 5 x 73 x 1091

Step 4: Therefore, the least common multiple of 2182 and 2190 is 2389290.