Least Common Multiple of 2172 and 2177

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2172 and 2177 the smallest integer that is 4728444 that is divisible by both numbers.

Least Common Multiple (LCM) of 2172 and 2177 is 4728444.

LCM(2172,2177) = 4728444

LCM of 2172 and 2177

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

LCM of:
and

Least Common Multiple of 2172 and 2177

LCM of 2172 and 2177 is 4728444

Least common multiple can be found by multiplying the highest exponent prime factors of 2172 and 2177. First we will calculate the prime factors of 2172 and 2177.

Prime Factorization of 2172


2 2172
2 1086
3 543
181 181
1

Prime factors of 2172 are 2, 3,181. Prime factorization of 2172 in exponential form is:

2172 = 22×31×1811

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2172 and 2177.

LCM(2172,2177) = 22×31×71×1811×3111
LCM(2172,2177) = 4728444

Factors of 2172

List of positive integer factors of 2172 that divides 2172 without a remainder.

1, 2, 3, 4, 6, 12, 181, 362, 543, 724, 1086, 2172

Factors of 2177

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

1, 7, 311, 2177

Least Common Multiple of 2172 and 2177 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2172 and 2177, than apply into the LCM equation.

GCF(2172,2177) = 1
LCM(2172,2177) = ( 2172 × 2177) / 1
LCM(2172,2177) = 4728444 / 1
LCM(2172,2177) = 4728444

Properties of LCM 2172 and 2177

(i) The LCM of 2177 and 2172 is associative

LCM of 2172 and 2177 = LCM of 2177 and 2172

Related Least Common Multiples of 2172

Related Least Common Multiples of 2177

Frequently Asked Questions on LCM of 2172 and 2177

1. What is the LCM of 2172 and 2177?

Answer: LCM of 2172 and 2177 is 4728444.

2. What are the Factors of 2172?

Answer: Factors of 2172 are 1, 2, 3, 4, 6, 12, 181, 362, 543, 724, 1086, 2172. There are 12 integers that are factors of 2172. The greatest factor of 2172 is 2172.

3. 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.

4. How to Find the LCM of 2172 and 2177?

Answer:

Least Common Multiple of 2172 and 2177 = 4728444

Step 1: Find the prime factorization of 2172

2172 = 2 x 2 x 3 x 181

Step 2: Find the prime factorization of 2177

2177 = 7 x 311

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

LCM = 4728444 = 2 x 2 x 3 x 7 x 181 x 311

Step 4: Therefore, the least common multiple of 2172 and 2177 is 4728444.