Least Common Multiple of 2403 and 2410

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2403 and 2410 the smallest integer that is 5791230 that is divisible by both numbers.

Least Common Multiple (LCM) of 2403 and 2410 is 5791230.

LCM(2403,2410) = 5791230

LCM of 2403 and 2410

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

LCM of:
and

Least Common Multiple of 2403 and 2410

LCM of 2403 and 2410 is 5791230

Least common multiple can be found by multiplying the highest exponent prime factors of 2403 and 2410. First we will calculate the prime factors of 2403 and 2410.

Prime Factorization of 2403


3 2403
3 801
3 267
89 89
1

Prime factors of 2403 are 3,89. Prime factorization of 2403 in exponential form is:

2403 = 33×891

Prime Factorization of 2410


2 2410
5 1205
241 241
1

Prime factors of 2410 are 2, 5,241. Prime factorization of 2410 in exponential form is:

2410 = 21×51×2411

Now multiplying the highest exponent prime factors to calculate the LCM of 2403 and 2410.

LCM(2403,2410) = 21×33×51×891×2411
LCM(2403,2410) = 5791230

Factors of 2403

List of positive integer factors of 2403 that divides 2403 without a remainder.

1, 3, 9, 27, 89, 267, 801, 2403

Factors of 2410

List of positive integer factors of 2410 that divides 2410 without a remainder.

1, 2, 5, 10, 241, 482, 1205, 2410

Least Common Multiple of 2403 and 2410 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2403 and 2410, than apply into the LCM equation.

GCF(2403,2410) = 1
LCM(2403,2410) = ( 2403 × 2410) / 1
LCM(2403,2410) = 5791230 / 1
LCM(2403,2410) = 5791230

Properties of LCM 2403 and 2410

(i) The LCM of 2410 and 2403 is associative

LCM of 2403 and 2410 = LCM of 2410 and 2403

Related Least Common Multiples of 2403

Related Least Common Multiples of 2410

Frequently Asked Questions on LCM of 2403 and 2410

1. What is the LCM of 2403 and 2410?

Answer: LCM of 2403 and 2410 is 5791230.

2. What are the Factors of 2403?

Answer: Factors of 2403 are 1, 3, 9, 27, 89, 267, 801, 2403. There are 8 integers that are factors of 2403. The greatest factor of 2403 is 2403.

3. What are the Factors of 2410?

Answer: Factors of 2410 are 1, 2, 5, 10, 241, 482, 1205, 2410. There are 8 integers that are factors of 2410. The greatest factor of 2410 is 2410.

4. How to Find the LCM of 2403 and 2410?

Answer:

Least Common Multiple of 2403 and 2410 = 5791230

Step 1: Find the prime factorization of 2403

2403 = 3 x 3 x 3 x 89

Step 2: Find the prime factorization of 2410

2410 = 2 x 5 x 241

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

LCM = 5791230 = 2 x 3 x 3 x 3 x 5 x 89 x 241

Step 4: Therefore, the least common multiple of 2403 and 2410 is 5791230.