Least Common Multiple of 1504 and 1505

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 1505 the smallest integer that is 2263520 that is divisible by both numbers.

Least Common Multiple (LCM) of 1504 and 1505 is 2263520.

LCM(1504,1505) = 2263520

LCM of 1504 and 1505

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

LCM of:
and

Least Common Multiple of 1504 and 1505

LCM of 1504 and 1505 is 2263520

Least common multiple can be found by multiplying the highest exponent prime factors of 1504 and 1505. First we will calculate the prime factors of 1504 and 1505.

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 1505


5 1505
7 301
43 43
1

Prime factors of 1505 are 5, 7,43. Prime factorization of 1505 in exponential form is:

1505 = 51×71×431

Now multiplying the highest exponent prime factors to calculate the LCM of 1504 and 1505.

LCM(1504,1505) = 25×51×71×431×471
LCM(1504,1505) = 2263520

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 1505

List of positive integer factors of 1505 that divides 1505 without a remainder.

1, 5, 7, 35, 43, 215, 301, 1505

Least Common Multiple of 1504 and 1505 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 1505, than apply into the LCM equation.

GCF(1504,1505) = 1
LCM(1504,1505) = ( 1504 × 1505) / 1
LCM(1504,1505) = 2263520 / 1
LCM(1504,1505) = 2263520

Properties of LCM 1504 and 1505

(i) The LCM of 1505 and 1504 is associative

LCM of 1504 and 1505 = LCM of 1505 and 1504

Related Least Common Multiples of 1504

Related Least Common Multiples of 1505

Frequently Asked Questions on LCM of 1504 and 1505

1. What is the LCM of 1504 and 1505?

Answer: LCM of 1504 and 1505 is 2263520.

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 1505?

Answer: Factors of 1505 are 1, 5, 7, 35, 43, 215, 301, 1505. There are 8 integers that are factors of 1505. The greatest factor of 1505 is 1505.

4. How to Find the LCM of 1504 and 1505?

Answer:

Least Common Multiple of 1504 and 1505 = 2263520

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 1505

1505 = 5 x 7 x 43

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

LCM = 2263520 = 2 x 2 x 2 x 2 x 2 x 5 x 7 x 43 x 47

Step 4: Therefore, the least common multiple of 1504 and 1505 is 2263520.