Least Common Multiple of 2164 and 2168

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2164 and 2168 the smallest integer that is 1172888 that is divisible by both numbers.

Least Common Multiple (LCM) of 2164 and 2168 is 1172888.

LCM(2164,2168) = 1172888

LCM of 2164 and 2168

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

LCM of:
and

Least Common Multiple of 2164 and 2168

LCM of 2164 and 2168 is 1172888

Least common multiple can be found by multiplying the highest exponent prime factors of 2164 and 2168. First we will calculate the prime factors of 2164 and 2168.

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

Prime Factorization of 2168


2 2168
2 1084
2 542
271 271
1

Prime factors of 2168 are 2,271. Prime factorization of 2168 in exponential form is:

2168 = 23×2711

Now multiplying the highest exponent prime factors to calculate the LCM of 2164 and 2168.

LCM(2164,2168) = 23×2711×5411
LCM(2164,2168) = 1172888

Factors of 2164

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

1, 2, 4, 541, 1082, 2164

Factors of 2168

List of positive integer factors of 2168 that divides 2168 without a remainder.

1, 2, 4, 8, 271, 542, 1084, 2168

Least Common Multiple of 2164 and 2168 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2164 and 2168, than apply into the LCM equation.

GCF(2164,2168) = 4
LCM(2164,2168) = ( 2164 × 2168) / 4
LCM(2164,2168) = 4691552 / 4
LCM(2164,2168) = 1172888

Properties of LCM 2164 and 2168

(i) The LCM of 2168 and 2164 is associative

LCM of 2164 and 2168 = LCM of 2168 and 2164

Related Least Common Multiples of 2164

Related Least Common Multiples of 2168

Frequently Asked Questions on LCM of 2164 and 2168

1. What is the LCM of 2164 and 2168?

Answer: LCM of 2164 and 2168 is 1172888.

2. 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.

3. What are the Factors of 2168?

Answer: Factors of 2168 are 1, 2, 4, 8, 271, 542, 1084, 2168. There are 8 integers that are factors of 2168. The greatest factor of 2168 is 2168.

4. How to Find the LCM of 2164 and 2168?

Answer:

Least Common Multiple of 2164 and 2168 = 1172888

Step 1: Find the prime factorization of 2164

2164 = 2 x 2 x 541

Step 2: Find the prime factorization of 2168

2168 = 2 x 2 x 2 x 271

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

LCM = 1172888 = 2 x 2 x 2 x 271 x 541

Step 4: Therefore, the least common multiple of 2164 and 2168 is 1172888.