Least Common Multiple of 4413 and 4419

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 4419 the smallest integer that is 6500349 that is divisible by both numbers.

Least Common Multiple (LCM) of 4413 and 4419 is 6500349.

LCM(4413,4419) = 6500349

LCM of 4413 and 4419

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

LCM of:
and

Least Common Multiple of 4413 and 4419

LCM of 4413 and 4419 is 6500349

Least common multiple can be found by multiplying the highest exponent prime factors of 4413 and 4419. First we will calculate the prime factors of 4413 and 4419.

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 4419


3 4419
3 1473
491 491
1

Prime factors of 4419 are 3,491. Prime factorization of 4419 in exponential form is:

4419 = 32×4911

Now multiplying the highest exponent prime factors to calculate the LCM of 4413 and 4419.

LCM(4413,4419) = 32×4911×14711
LCM(4413,4419) = 6500349

Factors of 4413

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

1, 3, 1471, 4413

Factors of 4419

List of positive integer factors of 4419 that divides 4419 without a remainder.

1, 3, 9, 491, 1473, 4419

Least Common Multiple of 4413 and 4419 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 4419, than apply into the LCM equation.

GCF(4413,4419) = 3
LCM(4413,4419) = ( 4413 × 4419) / 3
LCM(4413,4419) = 19501047 / 3
LCM(4413,4419) = 6500349

Properties of LCM 4413 and 4419

(i) The LCM of 4419 and 4413 is associative

LCM of 4413 and 4419 = LCM of 4419 and 4413

Related Least Common Multiples of 4413

Related Least Common Multiples of 4419

Frequently Asked Questions on LCM of 4413 and 4419

1. What is the LCM of 4413 and 4419?

Answer: LCM of 4413 and 4419 is 6500349.

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 4419?

Answer: Factors of 4419 are 1, 3, 9, 491, 1473, 4419. There are 6 integers that are factors of 4419. The greatest factor of 4419 is 4419.

4. How to Find the LCM of 4413 and 4419?

Answer:

Least Common Multiple of 4413 and 4419 = 6500349

Step 1: Find the prime factorization of 4413

4413 = 3 x 1471

Step 2: Find the prime factorization of 4419

4419 = 3 x 3 x 491

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

LCM = 6500349 = 3 x 3 x 491 x 1471

Step 4: Therefore, the least common multiple of 4413 and 4419 is 6500349.