Least Common Multiple of 4413 and 4420

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 4420 the smallest integer that is 19505460 that is divisible by both numbers.

Least Common Multiple (LCM) of 4413 and 4420 is 19505460.

LCM(4413,4420) = 19505460

LCM of 4413 and 4420

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

LCM of:
and

Least Common Multiple of 4413 and 4420

LCM of 4413 and 4420 is 19505460

Least common multiple can be found by multiplying the highest exponent prime factors of 4413 and 4420. First we will calculate the prime factors of 4413 and 4420.

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 4420


2 4420
2 2210
5 1105
13 221
17 17
1

Prime factors of 4420 are 2, 5, 13,17. Prime factorization of 4420 in exponential form is:

4420 = 22×51×131×171

Now multiplying the highest exponent prime factors to calculate the LCM of 4413 and 4420.

LCM(4413,4420) = 22×31×51×131×171×14711
LCM(4413,4420) = 19505460

Factors of 4413

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

1, 3, 1471, 4413

Factors of 4420

List of positive integer factors of 4420 that divides 4420 without a remainder.

1, 2, 4, 5, 10, 13, 17, 20, 26, 34, 52, 65, 68, 85, 130, 170, 221, 260, 340, 442, 884, 1105, 2210, 4420

Least Common Multiple of 4413 and 4420 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 4420, than apply into the LCM equation.

GCF(4413,4420) = 1
LCM(4413,4420) = ( 4413 × 4420) / 1
LCM(4413,4420) = 19505460 / 1
LCM(4413,4420) = 19505460

Properties of LCM 4413 and 4420

(i) The LCM of 4420 and 4413 is associative

LCM of 4413 and 4420 = LCM of 4420 and 4413

Related Least Common Multiples of 4413

Related Least Common Multiples of 4420

Frequently Asked Questions on LCM of 4413 and 4420

1. What is the LCM of 4413 and 4420?

Answer: LCM of 4413 and 4420 is 19505460.

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 4420?

Answer: Factors of 4420 are 1, 2, 4, 5, 10, 13, 17, 20, 26, 34, 52, 65, 68, 85, 130, 170, 221, 260, 340, 442, 884, 1105, 2210, 4420. There are 24 integers that are factors of 4420. The greatest factor of 4420 is 4420.

4. How to Find the LCM of 4413 and 4420?

Answer:

Least Common Multiple of 4413 and 4420 = 19505460

Step 1: Find the prime factorization of 4413

4413 = 3 x 1471

Step 2: Find the prime factorization of 4420

4420 = 2 x 2 x 5 x 13 x 17

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

LCM = 19505460 = 2 x 2 x 3 x 5 x 13 x 17 x 1471

Step 4: Therefore, the least common multiple of 4413 and 4420 is 19505460.