Least Common Multiple of 1405 and 1410

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1405 and 1410 the smallest integer that is 396210 that is divisible by both numbers.

Least Common Multiple (LCM) of 1405 and 1410 is 396210.

LCM(1405,1410) = 396210

LCM of 1405 and 1410

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

LCM of:
and

Least Common Multiple of 1405 and 1410

LCM of 1405 and 1410 is 396210

Least common multiple can be found by multiplying the highest exponent prime factors of 1405 and 1410. First we will calculate the prime factors of 1405 and 1410.

Prime Factorization of 1405


5 1405
281 281
1

Prime factors of 1405 are 5,281. Prime factorization of 1405 in exponential form is:

1405 = 51×2811

Prime Factorization of 1410


2 1410
3 705
5 235
47 47
1

Prime factors of 1410 are 2, 3, 5,47. Prime factorization of 1410 in exponential form is:

1410 = 21×31×51×471

Now multiplying the highest exponent prime factors to calculate the LCM of 1405 and 1410.

LCM(1405,1410) = 21×31×51×471×2811
LCM(1405,1410) = 396210

Factors of 1405

List of positive integer factors of 1405 that divides 1405 without a remainder.

1, 5, 281, 1405

Factors of 1410

List of positive integer factors of 1410 that divides 1410 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 47, 94, 141, 235, 282, 470, 705, 1410

Least Common Multiple of 1405 and 1410 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1405 and 1410, than apply into the LCM equation.

GCF(1405,1410) = 5
LCM(1405,1410) = ( 1405 × 1410) / 5
LCM(1405,1410) = 1981050 / 5
LCM(1405,1410) = 396210

Properties of LCM 1405 and 1410

(i) The LCM of 1410 and 1405 is associative

LCM of 1405 and 1410 = LCM of 1410 and 1405

Related Least Common Multiples of 1405

Related Least Common Multiples of 1410

Frequently Asked Questions on LCM of 1405 and 1410

1. What is the LCM of 1405 and 1410?

Answer: LCM of 1405 and 1410 is 396210.

2. What are the Factors of 1405?

Answer: Factors of 1405 are 1, 5, 281, 1405. There are 4 integers that are factors of 1405. The greatest factor of 1405 is 1405.

3. What are the Factors of 1410?

Answer: Factors of 1410 are 1, 2, 3, 5, 6, 10, 15, 30, 47, 94, 141, 235, 282, 470, 705, 1410. There are 16 integers that are factors of 1410. The greatest factor of 1410 is 1410.

4. How to Find the LCM of 1405 and 1410?

Answer:

Least Common Multiple of 1405 and 1410 = 396210

Step 1: Find the prime factorization of 1405

1405 = 5 x 281

Step 2: Find the prime factorization of 1410

1410 = 2 x 3 x 5 x 47

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

LCM = 396210 = 2 x 3 x 5 x 47 x 281

Step 4: Therefore, the least common multiple of 1405 and 1410 is 396210.