Least Common Multiple of 4413 and 4414

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 4414 the smallest integer that is 19478982 that is divisible by both numbers.

Least Common Multiple (LCM) of 4413 and 4414 is 19478982.

LCM(4413,4414) = 19478982

LCM of 4413 and 4414

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

LCM of:
and

Least Common Multiple of 4413 and 4414

LCM of 4413 and 4414 is 19478982

Least common multiple can be found by multiplying the highest exponent prime factors of 4413 and 4414. First we will calculate the prime factors of 4413 and 4414.

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 4414


2 4414
2207 2207
1

Prime factors of 4414 are 2,2207. Prime factorization of 4414 in exponential form is:

4414 = 21×22071

Now multiplying the highest exponent prime factors to calculate the LCM of 4413 and 4414.

LCM(4413,4414) = 21×31×14711×22071
LCM(4413,4414) = 19478982

Factors of 4413

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

1, 3, 1471, 4413

Factors of 4414

List of positive integer factors of 4414 that divides 4414 without a remainder.

1, 2, 2207, 4414

Least Common Multiple of 4413 and 4414 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 4414, than apply into the LCM equation.

GCF(4413,4414) = 1
LCM(4413,4414) = ( 4413 × 4414) / 1
LCM(4413,4414) = 19478982 / 1
LCM(4413,4414) = 19478982

Properties of LCM 4413 and 4414

(i) The LCM of 4414 and 4413 is associative

LCM of 4413 and 4414 = LCM of 4414 and 4413

Related Least Common Multiples of 4413

Related Least Common Multiples of 4414

Frequently Asked Questions on LCM of 4413 and 4414

1. What is the LCM of 4413 and 4414?

Answer: LCM of 4413 and 4414 is 19478982.

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 4414?

Answer: Factors of 4414 are 1, 2, 2207, 4414. There are 4 integers that are factors of 4414. The greatest factor of 4414 is 4414.

4. How to Find the LCM of 4413 and 4414?

Answer:

Least Common Multiple of 4413 and 4414 = 19478982

Step 1: Find the prime factorization of 4413

4413 = 3 x 1471

Step 2: Find the prime factorization of 4414

4414 = 2 x 2207

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

LCM = 19478982 = 2 x 3 x 1471 x 2207

Step 4: Therefore, the least common multiple of 4413 and 4414 is 19478982.