Least Common Multiple of 1403 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 1403 and 1410 the smallest integer that is 1978230 that is divisible by both numbers.

Least Common Multiple (LCM) of 1403 and 1410 is 1978230.

LCM(1403,1410) = 1978230

LCM of 1403 and 1410

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

LCM of:
and

Least Common Multiple of 1403 and 1410

LCM of 1403 and 1410 is 1978230

Least common multiple can be found by multiplying the highest exponent prime factors of 1403 and 1410. First we will calculate the prime factors of 1403 and 1410.

Prime Factorization of 1403


23 1403
61 61
1

Prime factors of 1403 are 23,61. Prime factorization of 1403 in exponential form is:

1403 = 231×611

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 1403 and 1410.

LCM(1403,1410) = 21×31×51×231×471×611
LCM(1403,1410) = 1978230

Factors of 1403

List of positive integer factors of 1403 that divides 1403 without a remainder.

1, 23, 61, 1403

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 1403 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 1403 and 1410, than apply into the LCM equation.

GCF(1403,1410) = 1
LCM(1403,1410) = ( 1403 × 1410) / 1
LCM(1403,1410) = 1978230 / 1
LCM(1403,1410) = 1978230

Properties of LCM 1403 and 1410

(i) The LCM of 1410 and 1403 is associative

LCM of 1403 and 1410 = LCM of 1410 and 1403

Related Least Common Multiples of 1403

Related Least Common Multiples of 1410

Frequently Asked Questions on LCM of 1403 and 1410

1. What is the LCM of 1403 and 1410?

Answer: LCM of 1403 and 1410 is 1978230.

2. What are the Factors of 1403?

Answer: Factors of 1403 are 1, 23, 61, 1403. There are 4 integers that are factors of 1403. The greatest factor of 1403 is 1403.

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 1403 and 1410?

Answer:

Least Common Multiple of 1403 and 1410 = 1978230

Step 1: Find the prime factorization of 1403

1403 = 23 x 61

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 = 1978230 = 2 x 3 x 5 x 23 x 47 x 61

Step 4: Therefore, the least common multiple of 1403 and 1410 is 1978230.