Least Common Multiple of 2172 and 2176

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 2176 the smallest integer that is 1181568 that is divisible by both numbers.

Least Common Multiple (LCM) of 2172 and 2176 is 1181568.

LCM(2172,2176) = 1181568

LCM of 2172 and 2176

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

LCM of:
and

Least Common Multiple of 2172 and 2176

LCM of 2172 and 2176 is 1181568

Least common multiple can be found by multiplying the highest exponent prime factors of 2172 and 2176. First we will calculate the prime factors of 2172 and 2176.

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 2176


2 2176
2 1088
2 544
2 272
2 136
2 68
2 34
17 17
1

Prime factors of 2176 are 2,17. Prime factorization of 2176 in exponential form is:

2176 = 27×171

Now multiplying the highest exponent prime factors to calculate the LCM of 2172 and 2176.

LCM(2172,2176) = 27×31×171×1811
LCM(2172,2176) = 1181568

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 2176

List of positive integer factors of 2176 that divides 2176 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 64, 68, 128, 136, 272, 544, 1088, 2176

Least Common Multiple of 2172 and 2176 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 2176, than apply into the LCM equation.

GCF(2172,2176) = 4
LCM(2172,2176) = ( 2172 × 2176) / 4
LCM(2172,2176) = 4726272 / 4
LCM(2172,2176) = 1181568

Properties of LCM 2172 and 2176

(i) The LCM of 2176 and 2172 is associative

LCM of 2172 and 2176 = LCM of 2176 and 2172

Related Least Common Multiples of 2172

Related Least Common Multiples of 2176

Frequently Asked Questions on LCM of 2172 and 2176

1. What is the LCM of 2172 and 2176?

Answer: LCM of 2172 and 2176 is 1181568.

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 2176?

Answer: Factors of 2176 are 1, 2, 4, 8, 16, 17, 32, 34, 64, 68, 128, 136, 272, 544, 1088, 2176. There are 16 integers that are factors of 2176. The greatest factor of 2176 is 2176.

4. How to Find the LCM of 2172 and 2176?

Answer:

Least Common Multiple of 2172 and 2176 = 1181568

Step 1: Find the prime factorization of 2172

2172 = 2 x 2 x 3 x 181

Step 2: Find the prime factorization of 2176

2176 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 17

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

LCM = 1181568 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 17 x 181

Step 4: Therefore, the least common multiple of 2172 and 2176 is 1181568.