Least Common Multiple of 1505 and 1510

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 1510 the smallest integer that is 454510 that is divisible by both numbers.

Least Common Multiple (LCM) of 1505 and 1510 is 454510.

LCM(1505,1510) = 454510

LCM of 1505 and 1510

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

LCM of:
and

Least Common Multiple of 1505 and 1510

LCM of 1505 and 1510 is 454510

Least common multiple can be found by multiplying the highest exponent prime factors of 1505 and 1510. First we will calculate the prime factors of 1505 and 1510.

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 1510


2 1510
5 755
151 151
1

Prime factors of 1510 are 2, 5,151. Prime factorization of 1510 in exponential form is:

1510 = 21×51×1511

Now multiplying the highest exponent prime factors to calculate the LCM of 1505 and 1510.

LCM(1505,1510) = 21×51×71×431×1511
LCM(1505,1510) = 454510

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 1510

List of positive integer factors of 1510 that divides 1510 without a remainder.

1, 2, 5, 10, 151, 302, 755, 1510

Least Common Multiple of 1505 and 1510 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 1510, than apply into the LCM equation.

GCF(1505,1510) = 5
LCM(1505,1510) = ( 1505 × 1510) / 5
LCM(1505,1510) = 2272550 / 5
LCM(1505,1510) = 454510

Properties of LCM 1505 and 1510

(i) The LCM of 1510 and 1505 is associative

LCM of 1505 and 1510 = LCM of 1510 and 1505

Related Least Common Multiples of 1505

Related Least Common Multiples of 1510

Frequently Asked Questions on LCM of 1505 and 1510

1. What is the LCM of 1505 and 1510?

Answer: LCM of 1505 and 1510 is 454510.

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 1510?

Answer: Factors of 1510 are 1, 2, 5, 10, 151, 302, 755, 1510. There are 8 integers that are factors of 1510. The greatest factor of 1510 is 1510.

4. How to Find the LCM of 1505 and 1510?

Answer:

Least Common Multiple of 1505 and 1510 = 454510

Step 1: Find the prime factorization of 1505

1505 = 5 x 7 x 43

Step 2: Find the prime factorization of 1510

1510 = 2 x 5 x 151

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

LCM = 454510 = 2 x 5 x 7 x 43 x 151

Step 4: Therefore, the least common multiple of 1505 and 1510 is 454510.