Least Common Multiple of 2177 and 2182

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 2182 the smallest integer that is 4750214 that is divisible by both numbers.

Least Common Multiple (LCM) of 2177 and 2182 is 4750214.

LCM(2177,2182) = 4750214

LCM of 2177 and 2182

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

LCM of:
and

Least Common Multiple of 2177 and 2182

LCM of 2177 and 2182 is 4750214

Least common multiple can be found by multiplying the highest exponent prime factors of 2177 and 2182. First we will calculate the prime factors of 2177 and 2182.

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 2182


2 2182
1091 1091
1

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

2182 = 21×10911

Now multiplying the highest exponent prime factors to calculate the LCM of 2177 and 2182.

LCM(2177,2182) = 21×71×3111×10911
LCM(2177,2182) = 4750214

Factors of 2177

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

1, 7, 311, 2177

Factors of 2182

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

1, 2, 1091, 2182

Least Common Multiple of 2177 and 2182 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 2182, than apply into the LCM equation.

GCF(2177,2182) = 1
LCM(2177,2182) = ( 2177 × 2182) / 1
LCM(2177,2182) = 4750214 / 1
LCM(2177,2182) = 4750214

Properties of LCM 2177 and 2182

(i) The LCM of 2182 and 2177 is associative

LCM of 2177 and 2182 = LCM of 2182 and 2177

Related Least Common Multiples of 2177

Related Least Common Multiples of 2182

Frequently Asked Questions on LCM of 2177 and 2182

1. What is the LCM of 2177 and 2182?

Answer: LCM of 2177 and 2182 is 4750214.

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 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.

4. How to Find the LCM of 2177 and 2182?

Answer:

Least Common Multiple of 2177 and 2182 = 4750214

Step 1: Find the prime factorization of 2177

2177 = 7 x 311

Step 2: Find the prime factorization of 2182

2182 = 2 x 1091

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

LCM = 4750214 = 2 x 7 x 311 x 1091

Step 4: Therefore, the least common multiple of 2177 and 2182 is 4750214.