Least Common Multiple of 1501 and 1508

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1501 and 1508 the smallest integer that is 2263508 that is divisible by both numbers.

Least Common Multiple (LCM) of 1501 and 1508 is 2263508.

LCM(1501,1508) = 2263508

LCM of 1501 and 1508

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

LCM of:
and

Least Common Multiple of 1501 and 1508

LCM of 1501 and 1508 is 2263508

Least common multiple can be found by multiplying the highest exponent prime factors of 1501 and 1508. First we will calculate the prime factors of 1501 and 1508.

Prime Factorization of 1501


19 1501
79 79
1

Prime factors of 1501 are 19,79. Prime factorization of 1501 in exponential form is:

1501 = 191×791

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1501 and 1508.

LCM(1501,1508) = 22×131×191×291×791
LCM(1501,1508) = 2263508

Factors of 1501

List of positive integer factors of 1501 that divides 1501 without a remainder.

1, 19, 79, 1501

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

Least Common Multiple of 1501 and 1508 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1501 and 1508, than apply into the LCM equation.

GCF(1501,1508) = 1
LCM(1501,1508) = ( 1501 × 1508) / 1
LCM(1501,1508) = 2263508 / 1
LCM(1501,1508) = 2263508

Properties of LCM 1501 and 1508

(i) The LCM of 1508 and 1501 is associative

LCM of 1501 and 1508 = LCM of 1508 and 1501

Related Least Common Multiples of 1501

Related Least Common Multiples of 1508

Frequently Asked Questions on LCM of 1501 and 1508

1. What is the LCM of 1501 and 1508?

Answer: LCM of 1501 and 1508 is 2263508.

2. What are the Factors of 1501?

Answer: Factors of 1501 are 1, 19, 79, 1501. There are 4 integers that are factors of 1501. The greatest factor of 1501 is 1501.

3. 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.

4. How to Find the LCM of 1501 and 1508?

Answer:

Least Common Multiple of 1501 and 1508 = 2263508

Step 1: Find the prime factorization of 1501

1501 = 19 x 79

Step 2: Find the prime factorization of 1508

1508 = 2 x 2 x 13 x 29

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

LCM = 2263508 = 2 x 2 x 13 x 19 x 29 x 79

Step 4: Therefore, the least common multiple of 1501 and 1508 is 2263508.