Least Common Multiple of 1504 and 1507

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1504 and 1507 the smallest integer that is 2266528 that is divisible by both numbers.

Least Common Multiple (LCM) of 1504 and 1507 is 2266528.

LCM(1504,1507) = 2266528

LCM of 1504 and 1507

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

LCM of:
and

Least Common Multiple of 1504 and 1507

LCM of 1504 and 1507 is 2266528

Least common multiple can be found by multiplying the highest exponent prime factors of 1504 and 1507. First we will calculate the prime factors of 1504 and 1507.

Prime Factorization of 1504


2 1504
2 752
2 376
2 188
2 94
47 47
1

Prime factors of 1504 are 2,47. Prime factorization of 1504 in exponential form is:

1504 = 25×471

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1504 and 1507.

LCM(1504,1507) = 25×111×471×1371
LCM(1504,1507) = 2266528

Factors of 1504

List of positive integer factors of 1504 that divides 1504 without a remainder.

1, 2, 4, 8, 16, 32, 47, 94, 188, 376, 752, 1504

Factors of 1507

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

1, 11, 137, 1507

Least Common Multiple of 1504 and 1507 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1504 and 1507, than apply into the LCM equation.

GCF(1504,1507) = 1
LCM(1504,1507) = ( 1504 × 1507) / 1
LCM(1504,1507) = 2266528 / 1
LCM(1504,1507) = 2266528

Properties of LCM 1504 and 1507

(i) The LCM of 1507 and 1504 is associative

LCM of 1504 and 1507 = LCM of 1507 and 1504

Related Least Common Multiples of 1504

Related Least Common Multiples of 1507

Frequently Asked Questions on LCM of 1504 and 1507

1. What is the LCM of 1504 and 1507?

Answer: LCM of 1504 and 1507 is 2266528.

2. What are the Factors of 1504?

Answer: Factors of 1504 are 1, 2, 4, 8, 16, 32, 47, 94, 188, 376, 752, 1504. There are 12 integers that are factors of 1504. The greatest factor of 1504 is 1504.

3. 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.

4. How to Find the LCM of 1504 and 1507?

Answer:

Least Common Multiple of 1504 and 1507 = 2266528

Step 1: Find the prime factorization of 1504

1504 = 2 x 2 x 2 x 2 x 2 x 47

Step 2: Find the prime factorization of 1507

1507 = 11 x 137

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

LCM = 2266528 = 2 x 2 x 2 x 2 x 2 x 11 x 47 x 137

Step 4: Therefore, the least common multiple of 1504 and 1507 is 2266528.