Least Common Multiple of 2183 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 2183 and 2190 the smallest integer that is 4780770 that is divisible by both numbers.

Least Common Multiple (LCM) of 2183 and 2190 is 4780770.

LCM(2183,2190) = 4780770

LCM of 2183 and 2190

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

LCM of:
and

Least Common Multiple of 2183 and 2190

LCM of 2183 and 2190 is 4780770

Least common multiple can be found by multiplying the highest exponent prime factors of 2183 and 2190. First we will calculate the prime factors of 2183 and 2190.

Prime Factorization of 2183


37 2183
59 59
1

Prime factors of 2183 are 37,59. Prime factorization of 2183 in exponential form is:

2183 = 371×591

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 2183 and 2190.

LCM(2183,2190) = 21×31×51×371×591×731
LCM(2183,2190) = 4780770

Factors of 2183

List of positive integer factors of 2183 that divides 2183 without a remainder.

1, 37, 59, 2183

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 2183 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 2183 and 2190, than apply into the LCM equation.

GCF(2183,2190) = 1
LCM(2183,2190) = ( 2183 × 2190) / 1
LCM(2183,2190) = 4780770 / 1
LCM(2183,2190) = 4780770

Properties of LCM 2183 and 2190

(i) The LCM of 2190 and 2183 is associative

LCM of 2183 and 2190 = LCM of 2190 and 2183

Related Least Common Multiples of 2183

Related Least Common Multiples of 2190

Frequently Asked Questions on LCM of 2183 and 2190

1. What is the LCM of 2183 and 2190?

Answer: LCM of 2183 and 2190 is 4780770.

2. What are the Factors of 2183?

Answer: Factors of 2183 are 1, 37, 59, 2183. There are 4 integers that are factors of 2183. The greatest factor of 2183 is 2183.

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 2183 and 2190?

Answer:

Least Common Multiple of 2183 and 2190 = 4780770

Step 1: Find the prime factorization of 2183

2183 = 37 x 59

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 = 4780770 = 2 x 3 x 5 x 37 x 59 x 73

Step 4: Therefore, the least common multiple of 2183 and 2190 is 4780770.