Least Common Multiple of 4413 and 4417

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 4417 the smallest integer that is 19492221 that is divisible by both numbers.

Least Common Multiple (LCM) of 4413 and 4417 is 19492221.

LCM(4413,4417) = 19492221

LCM of 4413 and 4417

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

LCM of:
and

Least Common Multiple of 4413 and 4417

LCM of 4413 and 4417 is 19492221

Least common multiple can be found by multiplying the highest exponent prime factors of 4413 and 4417. First we will calculate the prime factors of 4413 and 4417.

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 4417


7 4417
631 631
1

Prime factors of 4417 are 7,631. Prime factorization of 4417 in exponential form is:

4417 = 71×6311

Now multiplying the highest exponent prime factors to calculate the LCM of 4413 and 4417.

LCM(4413,4417) = 31×71×6311×14711
LCM(4413,4417) = 19492221

Factors of 4413

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

1, 3, 1471, 4413

Factors of 4417

List of positive integer factors of 4417 that divides 4417 without a remainder.

1, 7, 631, 4417

Least Common Multiple of 4413 and 4417 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 4417, than apply into the LCM equation.

GCF(4413,4417) = 1
LCM(4413,4417) = ( 4413 × 4417) / 1
LCM(4413,4417) = 19492221 / 1
LCM(4413,4417) = 19492221

Properties of LCM 4413 and 4417

(i) The LCM of 4417 and 4413 is associative

LCM of 4413 and 4417 = LCM of 4417 and 4413

Related Least Common Multiples of 4413

Related Least Common Multiples of 4417

Frequently Asked Questions on LCM of 4413 and 4417

1. What is the LCM of 4413 and 4417?

Answer: LCM of 4413 and 4417 is 19492221.

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 4417?

Answer: Factors of 4417 are 1, 7, 631, 4417. There are 4 integers that are factors of 4417. The greatest factor of 4417 is 4417.

4. How to Find the LCM of 4413 and 4417?

Answer:

Least Common Multiple of 4413 and 4417 = 19492221

Step 1: Find the prime factorization of 4413

4413 = 3 x 1471

Step 2: Find the prime factorization of 4417

4417 = 7 x 631

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

LCM = 19492221 = 3 x 7 x 631 x 1471

Step 4: Therefore, the least common multiple of 4413 and 4417 is 19492221.