Least Common Multiple of 4164 and 4169

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4164 and 4169 the smallest integer that is 17359716 that is divisible by both numbers.

Least Common Multiple (LCM) of 4164 and 4169 is 17359716.

LCM(4164,4169) = 17359716

LCM of 4164 and 4169

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

LCM of:
and

Least Common Multiple of 4164 and 4169

LCM of 4164 and 4169 is 17359716

Least common multiple can be found by multiplying the highest exponent prime factors of 4164 and 4169. First we will calculate the prime factors of 4164 and 4169.

Prime Factorization of 4164


2 4164
2 2082
3 1041
347 347
1

Prime factors of 4164 are 2, 3,347. Prime factorization of 4164 in exponential form is:

4164 = 22×31×3471

Prime Factorization of 4169


11 4169
379 379
1

Prime factors of 4169 are 11,379. Prime factorization of 4169 in exponential form is:

4169 = 111×3791

Now multiplying the highest exponent prime factors to calculate the LCM of 4164 and 4169.

LCM(4164,4169) = 22×31×111×3471×3791
LCM(4164,4169) = 17359716

Factors of 4164

List of positive integer factors of 4164 that divides 4164 without a remainder.

1, 2, 3, 4, 6, 12, 347, 694, 1041, 1388, 2082, 4164

Factors of 4169

List of positive integer factors of 4169 that divides 4169 without a remainder.

1, 11, 379, 4169

Least Common Multiple of 4164 and 4169 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4164 and 4169, than apply into the LCM equation.

GCF(4164,4169) = 1
LCM(4164,4169) = ( 4164 × 4169) / 1
LCM(4164,4169) = 17359716 / 1
LCM(4164,4169) = 17359716

Properties of LCM 4164 and 4169

(i) The LCM of 4169 and 4164 is associative

LCM of 4164 and 4169 = LCM of 4169 and 4164

Related Least Common Multiples of 4164

Related Least Common Multiples of 4169

Frequently Asked Questions on LCM of 4164 and 4169

1. What is the LCM of 4164 and 4169?

Answer: LCM of 4164 and 4169 is 17359716.

2. What are the Factors of 4164?

Answer: Factors of 4164 are 1, 2, 3, 4, 6, 12, 347, 694, 1041, 1388, 2082, 4164. There are 12 integers that are factors of 4164. The greatest factor of 4164 is 4164.

3. What are the Factors of 4169?

Answer: Factors of 4169 are 1, 11, 379, 4169. There are 4 integers that are factors of 4169. The greatest factor of 4169 is 4169.

4. How to Find the LCM of 4164 and 4169?

Answer:

Least Common Multiple of 4164 and 4169 = 17359716

Step 1: Find the prime factorization of 4164

4164 = 2 x 2 x 3 x 347

Step 2: Find the prime factorization of 4169

4169 = 11 x 379

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

LCM = 17359716 = 2 x 2 x 3 x 11 x 347 x 379

Step 4: Therefore, the least common multiple of 4164 and 4169 is 17359716.