Least Common Multiple of 2164 and 2169

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 2169 the smallest integer that is 4693716 that is divisible by both numbers.

Least Common Multiple (LCM) of 2164 and 2169 is 4693716.

LCM(2164,2169) = 4693716

LCM of 2164 and 2169

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

LCM of:
and

Least Common Multiple of 2164 and 2169

LCM of 2164 and 2169 is 4693716

Least common multiple can be found by multiplying the highest exponent prime factors of 2164 and 2169. First we will calculate the prime factors of 2164 and 2169.

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 2169


3 2169
3 723
241 241
1

Prime factors of 2169 are 3,241. Prime factorization of 2169 in exponential form is:

2169 = 32×2411

Now multiplying the highest exponent prime factors to calculate the LCM of 2164 and 2169.

LCM(2164,2169) = 22×32×2411×5411
LCM(2164,2169) = 4693716

Factors of 2164

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

1, 2, 4, 541, 1082, 2164

Factors of 2169

List of positive integer factors of 2169 that divides 2169 without a remainder.

1, 3, 9, 241, 723, 2169

Least Common Multiple of 2164 and 2169 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 2169, than apply into the LCM equation.

GCF(2164,2169) = 1
LCM(2164,2169) = ( 2164 × 2169) / 1
LCM(2164,2169) = 4693716 / 1
LCM(2164,2169) = 4693716

Properties of LCM 2164 and 2169

(i) The LCM of 2169 and 2164 is associative

LCM of 2164 and 2169 = LCM of 2169 and 2164

Related Least Common Multiples of 2164

Related Least Common Multiples of 2169

Frequently Asked Questions on LCM of 2164 and 2169

1. What is the LCM of 2164 and 2169?

Answer: LCM of 2164 and 2169 is 4693716.

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 2169?

Answer: Factors of 2169 are 1, 3, 9, 241, 723, 2169. There are 6 integers that are factors of 2169. The greatest factor of 2169 is 2169.

4. How to Find the LCM of 2164 and 2169?

Answer:

Least Common Multiple of 2164 and 2169 = 4693716

Step 1: Find the prime factorization of 2164

2164 = 2 x 2 x 541

Step 2: Find the prime factorization of 2169

2169 = 3 x 3 x 241

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

LCM = 4693716 = 2 x 2 x 3 x 3 x 241 x 541

Step 4: Therefore, the least common multiple of 2164 and 2169 is 4693716.