Least Common Multiple of 4408 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 4408 and 4415 the smallest integer that is 19461320 that is divisible by both numbers.

Least Common Multiple (LCM) of 4408 and 4415 is 19461320.

LCM(4408,4415) = 19461320

LCM of 4408 and 4415

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

LCM of:
and

Least Common Multiple of 4408 and 4415

LCM of 4408 and 4415 is 19461320

Least common multiple can be found by multiplying the highest exponent prime factors of 4408 and 4415. First we will calculate the prime factors of 4408 and 4415.

Prime Factorization of 4408


2 4408
2 2204
2 1102
19 551
29 29
1

Prime factors of 4408 are 2, 19,29. Prime factorization of 4408 in exponential form is:

4408 = 23×191×291

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 4408 and 4415.

LCM(4408,4415) = 23×51×191×291×8831
LCM(4408,4415) = 19461320

Factors of 4408

List of positive integer factors of 4408 that divides 4408 without a remainder.

1, 2, 4, 8, 19, 29, 38, 58, 76, 116, 152, 232, 551, 1102, 2204, 4408

Factors of 4415

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

1, 5, 883, 4415

Least Common Multiple of 4408 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 4408 and 4415, than apply into the LCM equation.

GCF(4408,4415) = 1
LCM(4408,4415) = ( 4408 × 4415) / 1
LCM(4408,4415) = 19461320 / 1
LCM(4408,4415) = 19461320

Properties of LCM 4408 and 4415

(i) The LCM of 4415 and 4408 is associative

LCM of 4408 and 4415 = LCM of 4415 and 4408

Related Least Common Multiples of 4408

Related Least Common Multiples of 4415

Frequently Asked Questions on LCM of 4408 and 4415

1. What is the LCM of 4408 and 4415?

Answer: LCM of 4408 and 4415 is 19461320.

2. What are the Factors of 4408?

Answer: Factors of 4408 are 1, 2, 4, 8, 19, 29, 38, 58, 76, 116, 152, 232, 551, 1102, 2204, 4408. There are 16 integers that are factors of 4408. The greatest factor of 4408 is 4408.

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 4408 and 4415?

Answer:

Least Common Multiple of 4408 and 4415 = 19461320

Step 1: Find the prime factorization of 4408

4408 = 2 x 2 x 2 x 19 x 29

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 = 19461320 = 2 x 2 x 2 x 5 x 19 x 29 x 883

Step 4: Therefore, the least common multiple of 4408 and 4415 is 19461320.