Least Common Multiple of 2409 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 2409 and 2416 the smallest integer that is 5820144 that is divisible by both numbers.

Least Common Multiple (LCM) of 2409 and 2416 is 5820144.

LCM(2409,2416) = 5820144

LCM of 2409 and 2416

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

LCM of:
and

Least Common Multiple of 2409 and 2416

LCM of 2409 and 2416 is 5820144

Least common multiple can be found by multiplying the highest exponent prime factors of 2409 and 2416. First we will calculate the prime factors of 2409 and 2416.

Prime Factorization of 2409


3 2409
11 803
73 73
1

Prime factors of 2409 are 3, 11,73. Prime factorization of 2409 in exponential form is:

2409 = 31×111×731

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 2409 and 2416.

LCM(2409,2416) = 24×31×111×731×1511
LCM(2409,2416) = 5820144

Factors of 2409

List of positive integer factors of 2409 that divides 2409 without a remainder.

1, 3, 11, 33, 73, 219, 803, 2409

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 2409 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 2409 and 2416, than apply into the LCM equation.

GCF(2409,2416) = 1
LCM(2409,2416) = ( 2409 × 2416) / 1
LCM(2409,2416) = 5820144 / 1
LCM(2409,2416) = 5820144

Properties of LCM 2409 and 2416

(i) The LCM of 2416 and 2409 is associative

LCM of 2409 and 2416 = LCM of 2416 and 2409

Related Least Common Multiples of 2409

Related Least Common Multiples of 2416

Frequently Asked Questions on LCM of 2409 and 2416

1. What is the LCM of 2409 and 2416?

Answer: LCM of 2409 and 2416 is 5820144.

2. What are the Factors of 2409?

Answer: Factors of 2409 are 1, 3, 11, 33, 73, 219, 803, 2409. There are 8 integers that are factors of 2409. The greatest factor of 2409 is 2409.

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 2409 and 2416?

Answer:

Least Common Multiple of 2409 and 2416 = 5820144

Step 1: Find the prime factorization of 2409

2409 = 3 x 11 x 73

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 = 5820144 = 2 x 2 x 2 x 2 x 3 x 11 x 73 x 151

Step 4: Therefore, the least common multiple of 2409 and 2416 is 5820144.