Least Common Multiple of 1508 and 1511

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1508 and 1511 the smallest integer that is 2278588 that is divisible by both numbers.

Least Common Multiple (LCM) of 1508 and 1511 is 2278588.

LCM(1508,1511) = 2278588

LCM of 1508 and 1511

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

LCM of:
and

Least Common Multiple of 1508 and 1511

LCM of 1508 and 1511 is 2278588

Least common multiple can be found by multiplying the highest exponent prime factors of 1508 and 1511. First we will calculate the prime factors of 1508 and 1511.

Prime Factorization of 1508


2 1508
2 754
13 377
29 29
1

Prime factors of 1508 are 2, 13,29. Prime factorization of 1508 in exponential form is:

1508 = 22×131×291

Prime Factorization of 1511


1511 1511
1

Prime factors of 1511 are 1511. Prime factorization of 1511 in exponential form is:

1511 = 15111

Now multiplying the highest exponent prime factors to calculate the LCM of 1508 and 1511.

LCM(1508,1511) = 22×131×291×15111
LCM(1508,1511) = 2278588

Factors of 1508

List of positive integer factors of 1508 that divides 1508 without a remainder.

1, 2, 4, 13, 26, 29, 52, 58, 116, 377, 754, 1508

Factors of 1511

List of positive integer factors of 1511 that divides 1511 without a remainder.

1, 1511

Least Common Multiple of 1508 and 1511 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1508 and 1511, than apply into the LCM equation.

GCF(1508,1511) = 1
LCM(1508,1511) = ( 1508 × 1511) / 1
LCM(1508,1511) = 2278588 / 1
LCM(1508,1511) = 2278588

Properties of LCM 1508 and 1511

(i) The LCM of 1511 and 1508 is associative

LCM of 1508 and 1511 = LCM of 1511 and 1508

Related Least Common Multiples of 1508

Related Least Common Multiples of 1511

Frequently Asked Questions on LCM of 1508 and 1511

1. What is the LCM of 1508 and 1511?

Answer: LCM of 1508 and 1511 is 2278588.

2. What are the Factors of 1508?

Answer: Factors of 1508 are 1, 2, 4, 13, 26, 29, 52, 58, 116, 377, 754, 1508. There are 12 integers that are factors of 1508. The greatest factor of 1508 is 1508.

3. What are the Factors of 1511?

Answer: Factors of 1511 are 1, 1511. There are 2 integers that are factors of 1511. The greatest factor of 1511 is 1511.

4. How to Find the LCM of 1508 and 1511?

Answer:

Least Common Multiple of 1508 and 1511 = 2278588

Step 1: Find the prime factorization of 1508

1508 = 2 x 2 x 13 x 29

Step 2: Find the prime factorization of 1511

1511 = 1511

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

LCM = 2278588 = 2 x 2 x 13 x 29 x 1511

Step 4: Therefore, the least common multiple of 1508 and 1511 is 2278588.