Least Common Multiple of 4413 and 4415

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 4415 the smallest integer that is 19483395 that is divisible by both numbers.

Least Common Multiple (LCM) of 4413 and 4415 is 19483395.

LCM(4413,4415) = 19483395

LCM of 4413 and 4415

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

LCM of:
and

Least Common Multiple of 4413 and 4415

LCM of 4413 and 4415 is 19483395

Least common multiple can be found by multiplying the highest exponent prime factors of 4413 and 4415. First we will calculate the prime factors of 4413 and 4415.

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 4415


5 4415
883 883
1

Prime factors of 4415 are 5,883. Prime factorization of 4415 in exponential form is:

4415 = 51×8831

Now multiplying the highest exponent prime factors to calculate the LCM of 4413 and 4415.

LCM(4413,4415) = 31×51×8831×14711
LCM(4413,4415) = 19483395

Factors of 4413

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

1, 3, 1471, 4413

Factors of 4415

List of positive integer factors of 4415 that divides 4415 without a remainder.

1, 5, 883, 4415

Least Common Multiple of 4413 and 4415 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 4415, than apply into the LCM equation.

GCF(4413,4415) = 1
LCM(4413,4415) = ( 4413 × 4415) / 1
LCM(4413,4415) = 19483395 / 1
LCM(4413,4415) = 19483395

Properties of LCM 4413 and 4415

(i) The LCM of 4415 and 4413 is associative

LCM of 4413 and 4415 = LCM of 4415 and 4413

Related Least Common Multiples of 4413

Related Least Common Multiples of 4415

Frequently Asked Questions on LCM of 4413 and 4415

1. What is the LCM of 4413 and 4415?

Answer: LCM of 4413 and 4415 is 19483395.

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 4415?

Answer: Factors of 4415 are 1, 5, 883, 4415. There are 4 integers that are factors of 4415. The greatest factor of 4415 is 4415.

4. How to Find the LCM of 4413 and 4415?

Answer:

Least Common Multiple of 4413 and 4415 = 19483395

Step 1: Find the prime factorization of 4413

4413 = 3 x 1471

Step 2: Find the prime factorization of 4415

4415 = 5 x 883

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

LCM = 19483395 = 3 x 5 x 883 x 1471

Step 4: Therefore, the least common multiple of 4413 and 4415 is 19483395.