Least Common Multiple of 4413 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 4413 and 4416 the smallest integer that is 6495936 that is divisible by both numbers.

Least Common Multiple (LCM) of 4413 and 4416 is 6495936.

LCM(4413,4416) = 6495936

LCM of 4413 and 4416

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

LCM of:
and

Least Common Multiple of 4413 and 4416

LCM of 4413 and 4416 is 6495936

Least common multiple can be found by multiplying the highest exponent prime factors of 4413 and 4416. First we will calculate the prime factors of 4413 and 4416.

Prime Factorization of 4413


3 4413
1471 1471
1

Prime factors of 4413 are 3,1471. Prime factorization of 4413 in exponential form is:

4413 = 31×14711

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 4413 and 4416.

LCM(4413,4416) = 26×31×231×14711
LCM(4413,4416) = 6495936

Factors of 4413

List of positive integer factors of 4413 that divides 4413 without a remainder.

1, 3, 1471, 4413

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 4413 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 4413 and 4416, than apply into the LCM equation.

GCF(4413,4416) = 3
LCM(4413,4416) = ( 4413 × 4416) / 3
LCM(4413,4416) = 19487808 / 3
LCM(4413,4416) = 6495936

Properties of LCM 4413 and 4416

(i) The LCM of 4416 and 4413 is associative

LCM of 4413 and 4416 = LCM of 4416 and 4413

Related Least Common Multiples of 4413

Related Least Common Multiples of 4416

Frequently Asked Questions on LCM of 4413 and 4416

1. What is the LCM of 4413 and 4416?

Answer: LCM of 4413 and 4416 is 6495936.

2. What are the Factors of 4413?

Answer: Factors of 4413 are 1, 3, 1471, 4413. There are 4 integers that are factors of 4413. The greatest factor of 4413 is 4413.

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 4413 and 4416?

Answer:

Least Common Multiple of 4413 and 4416 = 6495936

Step 1: Find the prime factorization of 4413

4413 = 3 x 1471

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 = 6495936 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 23 x 1471

Step 4: Therefore, the least common multiple of 4413 and 4416 is 6495936.