Least Common Multiple of 1507 and 1513

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1507 and 1513 the smallest integer that is 2280091 that is divisible by both numbers.

Least Common Multiple (LCM) of 1507 and 1513 is 2280091.

LCM(1507,1513) = 2280091

LCM of 1507 and 1513

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

LCM of:
and

Least Common Multiple of 1507 and 1513

LCM of 1507 and 1513 is 2280091

Least common multiple can be found by multiplying the highest exponent prime factors of 1507 and 1513. First we will calculate the prime factors of 1507 and 1513.

Prime Factorization of 1507


11 1507
137 137
1

Prime factors of 1507 are 11,137. Prime factorization of 1507 in exponential form is:

1507 = 111×1371

Prime Factorization of 1513


17 1513
89 89
1

Prime factors of 1513 are 17,89. Prime factorization of 1513 in exponential form is:

1513 = 171×891

Now multiplying the highest exponent prime factors to calculate the LCM of 1507 and 1513.

LCM(1507,1513) = 111×171×891×1371
LCM(1507,1513) = 2280091

Factors of 1507

List of positive integer factors of 1507 that divides 1507 without a remainder.

1, 11, 137, 1507

Factors of 1513

List of positive integer factors of 1513 that divides 1513 without a remainder.

1, 17, 89, 1513

Least Common Multiple of 1507 and 1513 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1507 and 1513, than apply into the LCM equation.

GCF(1507,1513) = 1
LCM(1507,1513) = ( 1507 × 1513) / 1
LCM(1507,1513) = 2280091 / 1
LCM(1507,1513) = 2280091

Properties of LCM 1507 and 1513

(i) The LCM of 1513 and 1507 is associative

LCM of 1507 and 1513 = LCM of 1513 and 1507

Related Least Common Multiples of 1507

Related Least Common Multiples of 1513

Frequently Asked Questions on LCM of 1507 and 1513

1. What is the LCM of 1507 and 1513?

Answer: LCM of 1507 and 1513 is 2280091.

2. What are the Factors of 1507?

Answer: Factors of 1507 are 1, 11, 137, 1507. There are 4 integers that are factors of 1507. The greatest factor of 1507 is 1507.

3. What are the Factors of 1513?

Answer: Factors of 1513 are 1, 17, 89, 1513. There are 4 integers that are factors of 1513. The greatest factor of 1513 is 1513.

4. How to Find the LCM of 1507 and 1513?

Answer:

Least Common Multiple of 1507 and 1513 = 2280091

Step 1: Find the prime factorization of 1507

1507 = 11 x 137

Step 2: Find the prime factorization of 1513

1513 = 17 x 89

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

LCM = 2280091 = 11 x 17 x 89 x 137

Step 4: Therefore, the least common multiple of 1507 and 1513 is 2280091.