Least Common Multiple of 4419 and 4424

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4419 and 4424 the smallest integer that is 19549656 that is divisible by both numbers.

Least Common Multiple (LCM) of 4419 and 4424 is 19549656.

LCM(4419,4424) = 19549656

LCM of 4419 and 4424

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

LCM of:
and

Least Common Multiple of 4419 and 4424

LCM of 4419 and 4424 is 19549656

Least common multiple can be found by multiplying the highest exponent prime factors of 4419 and 4424. First we will calculate the prime factors of 4419 and 4424.

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

Prime Factorization of 4424


2 4424
2 2212
2 1106
7 553
79 79
1

Prime factors of 4424 are 2, 7,79. Prime factorization of 4424 in exponential form is:

4424 = 23×71×791

Now multiplying the highest exponent prime factors to calculate the LCM of 4419 and 4424.

LCM(4419,4424) = 23×32×71×791×4911
LCM(4419,4424) = 19549656

Factors of 4419

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

1, 3, 9, 491, 1473, 4419

Factors of 4424

List of positive integer factors of 4424 that divides 4424 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 79, 158, 316, 553, 632, 1106, 2212, 4424

Least Common Multiple of 4419 and 4424 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4419 and 4424, than apply into the LCM equation.

GCF(4419,4424) = 1
LCM(4419,4424) = ( 4419 × 4424) / 1
LCM(4419,4424) = 19549656 / 1
LCM(4419,4424) = 19549656

Properties of LCM 4419 and 4424

(i) The LCM of 4424 and 4419 is associative

LCM of 4419 and 4424 = LCM of 4424 and 4419

Related Least Common Multiples of 4419

Related Least Common Multiples of 4424

Frequently Asked Questions on LCM of 4419 and 4424

1. What is the LCM of 4419 and 4424?

Answer: LCM of 4419 and 4424 is 19549656.

2. 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.

3. What are the Factors of 4424?

Answer: Factors of 4424 are 1, 2, 4, 7, 8, 14, 28, 56, 79, 158, 316, 553, 632, 1106, 2212, 4424. There are 16 integers that are factors of 4424. The greatest factor of 4424 is 4424.

4. How to Find the LCM of 4419 and 4424?

Answer:

Least Common Multiple of 4419 and 4424 = 19549656

Step 1: Find the prime factorization of 4419

4419 = 3 x 3 x 491

Step 2: Find the prime factorization of 4424

4424 = 2 x 2 x 2 x 7 x 79

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

LCM = 19549656 = 2 x 2 x 2 x 3 x 3 x 7 x 79 x 491

Step 4: Therefore, the least common multiple of 4419 and 4424 is 19549656.