Least Common Multiple of 2156 and 2164

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 2164 the smallest integer that is 1166396 that is divisible by both numbers.

Least Common Multiple (LCM) of 2156 and 2164 is 1166396.

LCM(2156,2164) = 1166396

LCM of 2156 and 2164

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

LCM of:
and

Least Common Multiple of 2156 and 2164

LCM of 2156 and 2164 is 1166396

Least common multiple can be found by multiplying the highest exponent prime factors of 2156 and 2164. First we will calculate the prime factors of 2156 and 2164.

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 2164


2 2164
2 1082
541 541
1

Prime factors of 2164 are 2,541. Prime factorization of 2164 in exponential form is:

2164 = 22×5411

Now multiplying the highest exponent prime factors to calculate the LCM of 2156 and 2164.

LCM(2156,2164) = 22×72×111×5411
LCM(2156,2164) = 1166396

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 2164

List of positive integer factors of 2164 that divides 2164 without a remainder.

1, 2, 4, 541, 1082, 2164

Least Common Multiple of 2156 and 2164 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 2164, than apply into the LCM equation.

GCF(2156,2164) = 4
LCM(2156,2164) = ( 2156 × 2164) / 4
LCM(2156,2164) = 4665584 / 4
LCM(2156,2164) = 1166396

Properties of LCM 2156 and 2164

(i) The LCM of 2164 and 2156 is associative

LCM of 2156 and 2164 = LCM of 2164 and 2156

Related Least Common Multiples of 2156

Related Least Common Multiples of 2164

Frequently Asked Questions on LCM of 2156 and 2164

1. What is the LCM of 2156 and 2164?

Answer: LCM of 2156 and 2164 is 1166396.

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 2164?

Answer: Factors of 2164 are 1, 2, 4, 541, 1082, 2164. There are 6 integers that are factors of 2164. The greatest factor of 2164 is 2164.

4. How to Find the LCM of 2156 and 2164?

Answer:

Least Common Multiple of 2156 and 2164 = 1166396

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 2164

2164 = 2 x 2 x 541

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

LCM = 1166396 = 2 x 2 x 7 x 7 x 11 x 541

Step 4: Therefore, the least common multiple of 2156 and 2164 is 1166396.