Least Common Multiple of 4409 and 4416

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4409 and 4416 the smallest integer that is 19470144 that is divisible by both numbers.

Least Common Multiple (LCM) of 4409 and 4416 is 19470144.

LCM(4409,4416) = 19470144

LCM of 4409 and 4416

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

LCM of:
and

Least Common Multiple of 4409 and 4416

LCM of 4409 and 4416 is 19470144

Least common multiple can be found by multiplying the highest exponent prime factors of 4409 and 4416. First we will calculate the prime factors of 4409 and 4416.

Prime Factorization of 4409


4409 4409
1

Prime factors of 4409 are 4409. Prime factorization of 4409 in exponential form is:

4409 = 44091

Prime Factorization of 4416


2 4416
2 2208
2 1104
2 552
2 276
2 138
3 69
23 23
1

Prime factors of 4416 are 2, 3,23. Prime factorization of 4416 in exponential form is:

4416 = 26×31×231

Now multiplying the highest exponent prime factors to calculate the LCM of 4409 and 4416.

LCM(4409,4416) = 26×31×231×44091
LCM(4409,4416) = 19470144

Factors of 4409

List of positive integer factors of 4409 that divides 4409 without a remainder.

1, 4409

Factors of 4416

List of positive integer factors of 4416 that divides 4416 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 23, 24, 32, 46, 48, 64, 69, 92, 96, 138, 184, 192, 276, 368, 552, 736, 1104, 1472, 2208, 4416

Least Common Multiple of 4409 and 4416 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4409 and 4416, than apply into the LCM equation.

GCF(4409,4416) = 1
LCM(4409,4416) = ( 4409 × 4416) / 1
LCM(4409,4416) = 19470144 / 1
LCM(4409,4416) = 19470144

Properties of LCM 4409 and 4416

(i) The LCM of 4416 and 4409 is associative

LCM of 4409 and 4416 = LCM of 4416 and 4409

Related Least Common Multiples of 4409

Related Least Common Multiples of 4416

Frequently Asked Questions on LCM of 4409 and 4416

1. What is the LCM of 4409 and 4416?

Answer: LCM of 4409 and 4416 is 19470144.

2. What are the Factors of 4409?

Answer: Factors of 4409 are 1, 4409. There are 2 integers that are factors of 4409. The greatest factor of 4409 is 4409.

3. What are the Factors of 4416?

Answer: Factors of 4416 are 1, 2, 3, 4, 6, 8, 12, 16, 23, 24, 32, 46, 48, 64, 69, 92, 96, 138, 184, 192, 276, 368, 552, 736, 1104, 1472, 2208, 4416. There are 28 integers that are factors of 4416. The greatest factor of 4416 is 4416.

4. How to Find the LCM of 4409 and 4416?

Answer:

Least Common Multiple of 4409 and 4416 = 19470144

Step 1: Find the prime factorization of 4409

4409 = 4409

Step 2: Find the prime factorization of 4416

4416 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 23

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

LCM = 19470144 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 23 x 4409

Step 4: Therefore, the least common multiple of 4409 and 4416 is 19470144.