Least Common Multiple of 4424 and 4432

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4424 and 4432 the smallest integer that is 2450896 that is divisible by both numbers.

Least Common Multiple (LCM) of 4424 and 4432 is 2450896.

LCM(4424,4432) = 2450896

LCM of 4424 and 4432

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

LCM of:
and

Least Common Multiple of 4424 and 4432

LCM of 4424 and 4432 is 2450896

Least common multiple can be found by multiplying the highest exponent prime factors of 4424 and 4432. First we will calculate the prime factors of 4424 and 4432.

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

Prime Factorization of 4432


2 4432
2 2216
2 1108
2 554
277 277
1

Prime factors of 4432 are 2,277. Prime factorization of 4432 in exponential form is:

4432 = 24×2771

Now multiplying the highest exponent prime factors to calculate the LCM of 4424 and 4432.

LCM(4424,4432) = 24×71×791×2771
LCM(4424,4432) = 2450896

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

Factors of 4432

List of positive integer factors of 4432 that divides 4432 without a remainder.

1, 2, 4, 8, 16, 277, 554, 1108, 2216, 4432

Least Common Multiple of 4424 and 4432 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4424 and 4432, than apply into the LCM equation.

GCF(4424,4432) = 8
LCM(4424,4432) = ( 4424 × 4432) / 8
LCM(4424,4432) = 19607168 / 8
LCM(4424,4432) = 2450896

Properties of LCM 4424 and 4432

(i) The LCM of 4432 and 4424 is associative

LCM of 4424 and 4432 = LCM of 4432 and 4424

Related Least Common Multiples of 4424

Related Least Common Multiples of 4432

Frequently Asked Questions on LCM of 4424 and 4432

1. What is the LCM of 4424 and 4432?

Answer: LCM of 4424 and 4432 is 2450896.

2. 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.

3. What are the Factors of 4432?

Answer: Factors of 4432 are 1, 2, 4, 8, 16, 277, 554, 1108, 2216, 4432. There are 10 integers that are factors of 4432. The greatest factor of 4432 is 4432.

4. How to Find the LCM of 4424 and 4432?

Answer:

Least Common Multiple of 4424 and 4432 = 2450896

Step 1: Find the prime factorization of 4424

4424 = 2 x 2 x 2 x 7 x 79

Step 2: Find the prime factorization of 4432

4432 = 2 x 2 x 2 x 2 x 277

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

LCM = 2450896 = 2 x 2 x 2 x 2 x 7 x 79 x 277

Step 4: Therefore, the least common multiple of 4424 and 4432 is 2450896.