Least Common Multiple of 6069 and 6076

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6069 and 6076 the smallest integer that is 5267892 that is divisible by both numbers.

Least Common Multiple (LCM) of 6069 and 6076 is 5267892.

LCM(6069,6076) = 5267892

LCM of 6069 and 6076

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

LCM of:
and

Least Common Multiple of 6069 and 6076

LCM of 6069 and 6076 is 5267892

Least common multiple can be found by multiplying the highest exponent prime factors of 6069 and 6076. First we will calculate the prime factors of 6069 and 6076.

Prime Factorization of 6069


3 6069
7 2023
17 289
17 17
1

Prime factors of 6069 are 3, 7,17. Prime factorization of 6069 in exponential form is:

6069 = 31×71×172

Prime Factorization of 6076


2 6076
2 3038
7 1519
7 217
31 31
1

Prime factors of 6076 are 2, 7,31. Prime factorization of 6076 in exponential form is:

6076 = 22×72×311

Now multiplying the highest exponent prime factors to calculate the LCM of 6069 and 6076.

LCM(6069,6076) = 22×31×72×172×311
LCM(6069,6076) = 5267892

Factors of 6069

List of positive integer factors of 6069 that divides 6069 without a remainder.

1, 3, 7, 17, 21, 51, 119, 289, 357, 867, 2023, 6069

Factors of 6076

List of positive integer factors of 6076 that divides 6076 without a remainder.

1, 2, 4, 7, 14, 28, 31, 49, 62, 98, 124, 196, 217, 434, 868, 1519, 3038, 6076

Least Common Multiple of 6069 and 6076 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6069 and 6076, than apply into the LCM equation.

GCF(6069,6076) = 7
LCM(6069,6076) = ( 6069 × 6076) / 7
LCM(6069,6076) = 36875244 / 7
LCM(6069,6076) = 5267892

Properties of LCM 6069 and 6076

(i) The LCM of 6076 and 6069 is associative

LCM of 6069 and 6076 = LCM of 6076 and 6069

Related Least Common Multiples of 6069

Related Least Common Multiples of 6076

Frequently Asked Questions on LCM of 6069 and 6076

1. What is the LCM of 6069 and 6076?

Answer: LCM of 6069 and 6076 is 5267892.

2. What are the Factors of 6069?

Answer: Factors of 6069 are 1, 3, 7, 17, 21, 51, 119, 289, 357, 867, 2023, 6069. There are 12 integers that are factors of 6069. The greatest factor of 6069 is 6069.

3. What are the Factors of 6076?

Answer: Factors of 6076 are 1, 2, 4, 7, 14, 28, 31, 49, 62, 98, 124, 196, 217, 434, 868, 1519, 3038, 6076. There are 18 integers that are factors of 6076. The greatest factor of 6076 is 6076.

4. How to Find the LCM of 6069 and 6076?

Answer:

Least Common Multiple of 6069 and 6076 = 5267892

Step 1: Find the prime factorization of 6069

6069 = 3 x 7 x 17 x 17

Step 2: Find the prime factorization of 6076

6076 = 2 x 2 x 7 x 7 x 31

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

LCM = 5267892 = 2 x 2 x 3 x 7 x 7 x 17 x 17 x 31

Step 4: Therefore, the least common multiple of 6069 and 6076 is 5267892.