Least Common Multiple of 6088 and 6095

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6088 and 6095 the smallest integer that is 37106360 that is divisible by both numbers.

Least Common Multiple (LCM) of 6088 and 6095 is 37106360.

LCM(6088,6095) = 37106360

LCM of 6088 and 6095

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

LCM of:
and

Least Common Multiple of 6088 and 6095

LCM of 6088 and 6095 is 37106360

Least common multiple can be found by multiplying the highest exponent prime factors of 6088 and 6095. First we will calculate the prime factors of 6088 and 6095.

Prime Factorization of 6088


2 6088
2 3044
2 1522
761 761
1

Prime factors of 6088 are 2,761. Prime factorization of 6088 in exponential form is:

6088 = 23×7611

Prime Factorization of 6095


5 6095
23 1219
53 53
1

Prime factors of 6095 are 5, 23,53. Prime factorization of 6095 in exponential form is:

6095 = 51×231×531

Now multiplying the highest exponent prime factors to calculate the LCM of 6088 and 6095.

LCM(6088,6095) = 23×51×231×531×7611
LCM(6088,6095) = 37106360

Factors of 6088

List of positive integer factors of 6088 that divides 6088 without a remainder.

1, 2, 4, 8, 761, 1522, 3044, 6088

Factors of 6095

List of positive integer factors of 6095 that divides 6095 without a remainder.

1, 5, 23, 53, 115, 265, 1219, 6095

Least Common Multiple of 6088 and 6095 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6088 and 6095, than apply into the LCM equation.

GCF(6088,6095) = 1
LCM(6088,6095) = ( 6088 × 6095) / 1
LCM(6088,6095) = 37106360 / 1
LCM(6088,6095) = 37106360

Properties of LCM 6088 and 6095

(i) The LCM of 6095 and 6088 is associative

LCM of 6088 and 6095 = LCM of 6095 and 6088

Related Least Common Multiples of 6088

Related Least Common Multiples of 6095

Frequently Asked Questions on LCM of 6088 and 6095

1. What is the LCM of 6088 and 6095?

Answer: LCM of 6088 and 6095 is 37106360.

2. What are the Factors of 6088?

Answer: Factors of 6088 are 1, 2, 4, 8, 761, 1522, 3044, 6088. There are 8 integers that are factors of 6088. The greatest factor of 6088 is 6088.

3. What are the Factors of 6095?

Answer: Factors of 6095 are 1, 5, 23, 53, 115, 265, 1219, 6095. There are 8 integers that are factors of 6095. The greatest factor of 6095 is 6095.

4. How to Find the LCM of 6088 and 6095?

Answer:

Least Common Multiple of 6088 and 6095 = 37106360

Step 1: Find the prime factorization of 6088

6088 = 2 x 2 x 2 x 761

Step 2: Find the prime factorization of 6095

6095 = 5 x 23 x 53

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

LCM = 37106360 = 2 x 2 x 2 x 5 x 23 x 53 x 761

Step 4: Therefore, the least common multiple of 6088 and 6095 is 37106360.