Least Common Multiple of 1505 and 1506

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1505 and 1506 the smallest integer that is 2266530 that is divisible by both numbers.

Least Common Multiple (LCM) of 1505 and 1506 is 2266530.

LCM(1505,1506) = 2266530

LCM of 1505 and 1506

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

LCM of:
and

Least Common Multiple of 1505 and 1506

LCM of 1505 and 1506 is 2266530

Least common multiple can be found by multiplying the highest exponent prime factors of 1505 and 1506. First we will calculate the prime factors of 1505 and 1506.

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

Prime Factorization of 1506


2 1506
3 753
251 251
1

Prime factors of 1506 are 2, 3,251. Prime factorization of 1506 in exponential form is:

1506 = 21×31×2511

Now multiplying the highest exponent prime factors to calculate the LCM of 1505 and 1506.

LCM(1505,1506) = 21×31×51×71×431×2511
LCM(1505,1506) = 2266530

Factors of 1505

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

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

Factors of 1506

List of positive integer factors of 1506 that divides 1506 without a remainder.

1, 2, 3, 6, 251, 502, 753, 1506

Least Common Multiple of 1505 and 1506 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1505 and 1506, than apply into the LCM equation.

GCF(1505,1506) = 1
LCM(1505,1506) = ( 1505 × 1506) / 1
LCM(1505,1506) = 2266530 / 1
LCM(1505,1506) = 2266530

Properties of LCM 1505 and 1506

(i) The LCM of 1506 and 1505 is associative

LCM of 1505 and 1506 = LCM of 1506 and 1505

Related Least Common Multiples of 1505

Related Least Common Multiples of 1506

Frequently Asked Questions on LCM of 1505 and 1506

1. What is the LCM of 1505 and 1506?

Answer: LCM of 1505 and 1506 is 2266530.

2. 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.

3. What are the Factors of 1506?

Answer: Factors of 1506 are 1, 2, 3, 6, 251, 502, 753, 1506. There are 8 integers that are factors of 1506. The greatest factor of 1506 is 1506.

4. How to Find the LCM of 1505 and 1506?

Answer:

Least Common Multiple of 1505 and 1506 = 2266530

Step 1: Find the prime factorization of 1505

1505 = 5 x 7 x 43

Step 2: Find the prime factorization of 1506

1506 = 2 x 3 x 251

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

LCM = 2266530 = 2 x 3 x 5 x 7 x 43 x 251

Step 4: Therefore, the least common multiple of 1505 and 1506 is 2266530.