Least Common Multiple of 2156 and 2163

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2156 and 2163 the smallest integer that is 666204 that is divisible by both numbers.

Least Common Multiple (LCM) of 2156 and 2163 is 666204.

LCM(2156,2163) = 666204

LCM of 2156 and 2163

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

LCM of:
and

Least Common Multiple of 2156 and 2163

LCM of 2156 and 2163 is 666204

Least common multiple can be found by multiplying the highest exponent prime factors of 2156 and 2163. First we will calculate the prime factors of 2156 and 2163.

Prime Factorization of 2156


2 2156
2 1078
7 539
7 77
11 11
1

Prime factors of 2156 are 2, 7,11. Prime factorization of 2156 in exponential form is:

2156 = 22×72×111

Prime Factorization of 2163


3 2163
7 721
103 103
1

Prime factors of 2163 are 3, 7,103. Prime factorization of 2163 in exponential form is:

2163 = 31×71×1031

Now multiplying the highest exponent prime factors to calculate the LCM of 2156 and 2163.

LCM(2156,2163) = 22×31×72×111×1031
LCM(2156,2163) = 666204

Factors of 2156

List of positive integer factors of 2156 that divides 2156 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 49, 77, 98, 154, 196, 308, 539, 1078, 2156

Factors of 2163

List of positive integer factors of 2163 that divides 2163 without a remainder.

1, 3, 7, 21, 103, 309, 721, 2163

Least Common Multiple of 2156 and 2163 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2156 and 2163, than apply into the LCM equation.

GCF(2156,2163) = 7
LCM(2156,2163) = ( 2156 × 2163) / 7
LCM(2156,2163) = 4663428 / 7
LCM(2156,2163) = 666204

Properties of LCM 2156 and 2163

(i) The LCM of 2163 and 2156 is associative

LCM of 2156 and 2163 = LCM of 2163 and 2156

Related Least Common Multiples of 2156

Related Least Common Multiples of 2163

Frequently Asked Questions on LCM of 2156 and 2163

1. What is the LCM of 2156 and 2163?

Answer: LCM of 2156 and 2163 is 666204.

2. What are the Factors of 2156?

Answer: Factors of 2156 are 1, 2, 4, 7, 11, 14, 22, 28, 44, 49, 77, 98, 154, 196, 308, 539, 1078, 2156. There are 18 integers that are factors of 2156. The greatest factor of 2156 is 2156.

3. What are the Factors of 2163?

Answer: Factors of 2163 are 1, 3, 7, 21, 103, 309, 721, 2163. There are 8 integers that are factors of 2163. The greatest factor of 2163 is 2163.

4. How to Find the LCM of 2156 and 2163?

Answer:

Least Common Multiple of 2156 and 2163 = 666204

Step 1: Find the prime factorization of 2156

2156 = 2 x 2 x 7 x 7 x 11

Step 2: Find the prime factorization of 2163

2163 = 3 x 7 x 103

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

LCM = 666204 = 2 x 2 x 3 x 7 x 7 x 11 x 103

Step 4: Therefore, the least common multiple of 2156 and 2163 is 666204.