Least Common Multiple of 1502 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 1502 and 1505 the smallest integer that is 2260510 that is divisible by both numbers.

Least Common Multiple (LCM) of 1502 and 1505 is 2260510.

LCM(1502,1505) = 2260510

LCM of 1502 and 1505

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

LCM of:
and

Least Common Multiple of 1502 and 1505

LCM of 1502 and 1505 is 2260510

Least common multiple can be found by multiplying the highest exponent prime factors of 1502 and 1505. First we will calculate the prime factors of 1502 and 1505.

Prime Factorization of 1502


2 1502
751 751
1

Prime factors of 1502 are 2,751. Prime factorization of 1502 in exponential form is:

1502 = 21×7511

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 1502 and 1505.

LCM(1502,1505) = 21×51×71×431×7511
LCM(1502,1505) = 2260510

Factors of 1502

List of positive integer factors of 1502 that divides 1502 without a remainder.

1, 2, 751, 1502

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 1502 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 1502 and 1505, than apply into the LCM equation.

GCF(1502,1505) = 1
LCM(1502,1505) = ( 1502 × 1505) / 1
LCM(1502,1505) = 2260510 / 1
LCM(1502,1505) = 2260510

Properties of LCM 1502 and 1505

(i) The LCM of 1505 and 1502 is associative

LCM of 1502 and 1505 = LCM of 1505 and 1502

Related Least Common Multiples of 1502

Related Least Common Multiples of 1505

Frequently Asked Questions on LCM of 1502 and 1505

1. What is the LCM of 1502 and 1505?

Answer: LCM of 1502 and 1505 is 2260510.

2. What are the Factors of 1502?

Answer: Factors of 1502 are 1, 2, 751, 1502. There are 4 integers that are factors of 1502. The greatest factor of 1502 is 1502.

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 1502 and 1505?

Answer:

Least Common Multiple of 1502 and 1505 = 2260510

Step 1: Find the prime factorization of 1502

1502 = 2 x 751

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 = 2260510 = 2 x 5 x 7 x 43 x 751

Step 4: Therefore, the least common multiple of 1502 and 1505 is 2260510.