Least Common Multiple of 1508 and 1516

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 1516 the smallest integer that is 571532 that is divisible by both numbers.

Least Common Multiple (LCM) of 1508 and 1516 is 571532.

LCM(1508,1516) = 571532

LCM of 1508 and 1516

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

LCM of:
and

Least Common Multiple of 1508 and 1516

LCM of 1508 and 1516 is 571532

Least common multiple can be found by multiplying the highest exponent prime factors of 1508 and 1516. First we will calculate the prime factors of 1508 and 1516.

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 1516


2 1516
2 758
379 379
1

Prime factors of 1516 are 2,379. Prime factorization of 1516 in exponential form is:

1516 = 22×3791

Now multiplying the highest exponent prime factors to calculate the LCM of 1508 and 1516.

LCM(1508,1516) = 22×131×291×3791
LCM(1508,1516) = 571532

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 1516

List of positive integer factors of 1516 that divides 1516 without a remainder.

1, 2, 4, 379, 758, 1516

Least Common Multiple of 1508 and 1516 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 1516, than apply into the LCM equation.

GCF(1508,1516) = 4
LCM(1508,1516) = ( 1508 × 1516) / 4
LCM(1508,1516) = 2286128 / 4
LCM(1508,1516) = 571532

Properties of LCM 1508 and 1516

(i) The LCM of 1516 and 1508 is associative

LCM of 1508 and 1516 = LCM of 1516 and 1508

Related Least Common Multiples of 1508

Related Least Common Multiples of 1516

Frequently Asked Questions on LCM of 1508 and 1516

1. What is the LCM of 1508 and 1516?

Answer: LCM of 1508 and 1516 is 571532.

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 1516?

Answer: Factors of 1516 are 1, 2, 4, 379, 758, 1516. There are 6 integers that are factors of 1516. The greatest factor of 1516 is 1516.

4. How to Find the LCM of 1508 and 1516?

Answer:

Least Common Multiple of 1508 and 1516 = 571532

Step 1: Find the prime factorization of 1508

1508 = 2 x 2 x 13 x 29

Step 2: Find the prime factorization of 1516

1516 = 2 x 2 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 = 571532 = 2 x 2 x 13 x 29 x 379

Step 4: Therefore, the least common multiple of 1508 and 1516 is 571532.