Least Common Multiple of 2177 and 2183

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2177 and 2183 the smallest integer that is 4752391 that is divisible by both numbers.

Least Common Multiple (LCM) of 2177 and 2183 is 4752391.

LCM(2177,2183) = 4752391

LCM of 2177 and 2183

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

LCM of:
and

Least Common Multiple of 2177 and 2183

LCM of 2177 and 2183 is 4752391

Least common multiple can be found by multiplying the highest exponent prime factors of 2177 and 2183. First we will calculate the prime factors of 2177 and 2183.

Prime Factorization of 2177


7 2177
311 311
1

Prime factors of 2177 are 7,311. Prime factorization of 2177 in exponential form is:

2177 = 71×3111

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2177 and 2183.

LCM(2177,2183) = 71×371×591×3111
LCM(2177,2183) = 4752391

Factors of 2177

List of positive integer factors of 2177 that divides 2177 without a remainder.

1, 7, 311, 2177

Factors of 2183

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

1, 37, 59, 2183

Least Common Multiple of 2177 and 2183 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2177 and 2183, than apply into the LCM equation.

GCF(2177,2183) = 1
LCM(2177,2183) = ( 2177 × 2183) / 1
LCM(2177,2183) = 4752391 / 1
LCM(2177,2183) = 4752391

Properties of LCM 2177 and 2183

(i) The LCM of 2183 and 2177 is associative

LCM of 2177 and 2183 = LCM of 2183 and 2177

Related Least Common Multiples of 2177

Related Least Common Multiples of 2183

Frequently Asked Questions on LCM of 2177 and 2183

1. What is the LCM of 2177 and 2183?

Answer: LCM of 2177 and 2183 is 4752391.

2. What are the Factors of 2177?

Answer: Factors of 2177 are 1, 7, 311, 2177. There are 4 integers that are factors of 2177. The greatest factor of 2177 is 2177.

3. 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.

4. How to Find the LCM of 2177 and 2183?

Answer:

Least Common Multiple of 2177 and 2183 = 4752391

Step 1: Find the prime factorization of 2177

2177 = 7 x 311

Step 2: Find the prime factorization of 2183

2183 = 37 x 59

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

LCM = 4752391 = 7 x 37 x 59 x 311

Step 4: Therefore, the least common multiple of 2177 and 2183 is 4752391.