Least Common Multiple of 2410 and 2416

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2410 and 2416 the smallest integer that is 2911280 that is divisible by both numbers.

Least Common Multiple (LCM) of 2410 and 2416 is 2911280.

LCM(2410,2416) = 2911280

LCM of 2410 and 2416

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

LCM of:
and

Least Common Multiple of 2410 and 2416

LCM of 2410 and 2416 is 2911280

Least common multiple can be found by multiplying the highest exponent prime factors of 2410 and 2416. First we will calculate the prime factors of 2410 and 2416.

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

Prime Factorization of 2416


2 2416
2 1208
2 604
2 302
151 151
1

Prime factors of 2416 are 2,151. Prime factorization of 2416 in exponential form is:

2416 = 24×1511

Now multiplying the highest exponent prime factors to calculate the LCM of 2410 and 2416.

LCM(2410,2416) = 24×51×1511×2411
LCM(2410,2416) = 2911280

Factors of 2410

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

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

Factors of 2416

List of positive integer factors of 2416 that divides 2416 without a remainder.

1, 2, 4, 8, 16, 151, 302, 604, 1208, 2416

Least Common Multiple of 2410 and 2416 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2410 and 2416, than apply into the LCM equation.

GCF(2410,2416) = 2
LCM(2410,2416) = ( 2410 × 2416) / 2
LCM(2410,2416) = 5822560 / 2
LCM(2410,2416) = 2911280

Properties of LCM 2410 and 2416

(i) The LCM of 2416 and 2410 is associative

LCM of 2410 and 2416 = LCM of 2416 and 2410

Related Least Common Multiples of 2410

Related Least Common Multiples of 2416

Frequently Asked Questions on LCM of 2410 and 2416

1. What is the LCM of 2410 and 2416?

Answer: LCM of 2410 and 2416 is 2911280.

2. 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.

3. What are the Factors of 2416?

Answer: Factors of 2416 are 1, 2, 4, 8, 16, 151, 302, 604, 1208, 2416. There are 10 integers that are factors of 2416. The greatest factor of 2416 is 2416.

4. How to Find the LCM of 2410 and 2416?

Answer:

Least Common Multiple of 2410 and 2416 = 2911280

Step 1: Find the prime factorization of 2410

2410 = 2 x 5 x 241

Step 2: Find the prime factorization of 2416

2416 = 2 x 2 x 2 x 2 x 151

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

LCM = 2911280 = 2 x 2 x 2 x 2 x 5 x 151 x 241

Step 4: Therefore, the least common multiple of 2410 and 2416 is 2911280.