Least Common Multiple of 1495 and 1502

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1495 and 1502 the smallest integer that is 2245490 that is divisible by both numbers.

Least Common Multiple (LCM) of 1495 and 1502 is 2245490.

LCM(1495,1502) = 2245490

LCM of 1495 and 1502

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

LCM of:
and

Least Common Multiple of 1495 and 1502

LCM of 1495 and 1502 is 2245490

Least common multiple can be found by multiplying the highest exponent prime factors of 1495 and 1502. First we will calculate the prime factors of 1495 and 1502.

Prime Factorization of 1495


5 1495
13 299
23 23
1

Prime factors of 1495 are 5, 13,23. Prime factorization of 1495 in exponential form is:

1495 = 51×131×231

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1495 and 1502.

LCM(1495,1502) = 21×51×131×231×7511
LCM(1495,1502) = 2245490

Factors of 1495

List of positive integer factors of 1495 that divides 1495 without a remainder.

1, 5, 13, 23, 65, 115, 299, 1495

Factors of 1502

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

1, 2, 751, 1502

Least Common Multiple of 1495 and 1502 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1495 and 1502, than apply into the LCM equation.

GCF(1495,1502) = 1
LCM(1495,1502) = ( 1495 × 1502) / 1
LCM(1495,1502) = 2245490 / 1
LCM(1495,1502) = 2245490

Properties of LCM 1495 and 1502

(i) The LCM of 1502 and 1495 is associative

LCM of 1495 and 1502 = LCM of 1502 and 1495

Related Least Common Multiples of 1495

Related Least Common Multiples of 1502

Frequently Asked Questions on LCM of 1495 and 1502

1. What is the LCM of 1495 and 1502?

Answer: LCM of 1495 and 1502 is 2245490.

2. What are the Factors of 1495?

Answer: Factors of 1495 are 1, 5, 13, 23, 65, 115, 299, 1495. There are 8 integers that are factors of 1495. The greatest factor of 1495 is 1495.

3. 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.

4. How to Find the LCM of 1495 and 1502?

Answer:

Least Common Multiple of 1495 and 1502 = 2245490

Step 1: Find the prime factorization of 1495

1495 = 5 x 13 x 23

Step 2: Find the prime factorization of 1502

1502 = 2 x 751

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

LCM = 2245490 = 2 x 5 x 13 x 23 x 751

Step 4: Therefore, the least common multiple of 1495 and 1502 is 2245490.