Least Common Multiple of 1503 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 1503 and 1505 the smallest integer that is 2262015 that is divisible by both numbers.

Least Common Multiple (LCM) of 1503 and 1505 is 2262015.

LCM(1503,1505) = 2262015

LCM of 1503 and 1505

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

LCM of:
and

Least Common Multiple of 1503 and 1505

LCM of 1503 and 1505 is 2262015

Least common multiple can be found by multiplying the highest exponent prime factors of 1503 and 1505. First we will calculate the prime factors of 1503 and 1505.

Prime Factorization of 1503


3 1503
3 501
167 167
1

Prime factors of 1503 are 3,167. Prime factorization of 1503 in exponential form is:

1503 = 32×1671

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 1503 and 1505.

LCM(1503,1505) = 32×51×71×431×1671
LCM(1503,1505) = 2262015

Factors of 1503

List of positive integer factors of 1503 that divides 1503 without a remainder.

1, 3, 9, 167, 501, 1503

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 1503 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 1503 and 1505, than apply into the LCM equation.

GCF(1503,1505) = 1
LCM(1503,1505) = ( 1503 × 1505) / 1
LCM(1503,1505) = 2262015 / 1
LCM(1503,1505) = 2262015

Properties of LCM 1503 and 1505

(i) The LCM of 1505 and 1503 is associative

LCM of 1503 and 1505 = LCM of 1505 and 1503

Related Least Common Multiples of 1503

Related Least Common Multiples of 1505

Frequently Asked Questions on LCM of 1503 and 1505

1. What is the LCM of 1503 and 1505?

Answer: LCM of 1503 and 1505 is 2262015.

2. What are the Factors of 1503?

Answer: Factors of 1503 are 1, 3, 9, 167, 501, 1503. There are 6 integers that are factors of 1503. The greatest factor of 1503 is 1503.

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 1503 and 1505?

Answer:

Least Common Multiple of 1503 and 1505 = 2262015

Step 1: Find the prime factorization of 1503

1503 = 3 x 3 x 167

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 = 2262015 = 3 x 3 x 5 x 7 x 43 x 167

Step 4: Therefore, the least common multiple of 1503 and 1505 is 2262015.