Least Common Multiple of 4407 and 4408

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4407 and 4408 the smallest integer that is 19426056 that is divisible by both numbers.

Least Common Multiple (LCM) of 4407 and 4408 is 19426056.

LCM(4407,4408) = 19426056

LCM of 4407 and 4408

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

LCM of:
and

Least Common Multiple of 4407 and 4408

LCM of 4407 and 4408 is 19426056

Least common multiple can be found by multiplying the highest exponent prime factors of 4407 and 4408. First we will calculate the prime factors of 4407 and 4408.

Prime Factorization of 4407


3 4407
13 1469
113 113
1

Prime factors of 4407 are 3, 13,113. Prime factorization of 4407 in exponential form is:

4407 = 31×131×1131

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4407 and 4408.

LCM(4407,4408) = 23×31×131×191×291×1131
LCM(4407,4408) = 19426056

Factors of 4407

List of positive integer factors of 4407 that divides 4407 without a remainder.

1, 3, 13, 39, 113, 339, 1469, 4407

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

Least Common Multiple of 4407 and 4408 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4407 and 4408, than apply into the LCM equation.

GCF(4407,4408) = 1
LCM(4407,4408) = ( 4407 × 4408) / 1
LCM(4407,4408) = 19426056 / 1
LCM(4407,4408) = 19426056

Properties of LCM 4407 and 4408

(i) The LCM of 4408 and 4407 is associative

LCM of 4407 and 4408 = LCM of 4408 and 4407

Related Least Common Multiples of 4407

Related Least Common Multiples of 4408

Frequently Asked Questions on LCM of 4407 and 4408

1. What is the LCM of 4407 and 4408?

Answer: LCM of 4407 and 4408 is 19426056.

2. What are the Factors of 4407?

Answer: Factors of 4407 are 1, 3, 13, 39, 113, 339, 1469, 4407. There are 8 integers that are factors of 4407. The greatest factor of 4407 is 4407.

3. 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.

4. How to Find the LCM of 4407 and 4408?

Answer:

Least Common Multiple of 4407 and 4408 = 19426056

Step 1: Find the prime factorization of 4407

4407 = 3 x 13 x 113

Step 2: Find the prime factorization of 4408

4408 = 2 x 2 x 2 x 19 x 29

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

LCM = 19426056 = 2 x 2 x 2 x 3 x 13 x 19 x 29 x 113

Step 4: Therefore, the least common multiple of 4407 and 4408 is 19426056.