Least Common Multiple of 4434 and 4442

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4434 and 4442 the smallest integer that is 9847914 that is divisible by both numbers.

Least Common Multiple (LCM) of 4434 and 4442 is 9847914.

LCM(4434,4442) = 9847914

LCM of 4434 and 4442

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

LCM of:
and

Least Common Multiple of 4434 and 4442

LCM of 4434 and 4442 is 9847914

Least common multiple can be found by multiplying the highest exponent prime factors of 4434 and 4442. First we will calculate the prime factors of 4434 and 4442.

Prime Factorization of 4434


2 4434
3 2217
739 739
1

Prime factors of 4434 are 2, 3,739. Prime factorization of 4434 in exponential form is:

4434 = 21×31×7391

Prime Factorization of 4442


2 4442
2221 2221
1

Prime factors of 4442 are 2,2221. Prime factorization of 4442 in exponential form is:

4442 = 21×22211

Now multiplying the highest exponent prime factors to calculate the LCM of 4434 and 4442.

LCM(4434,4442) = 21×31×7391×22211
LCM(4434,4442) = 9847914

Factors of 4434

List of positive integer factors of 4434 that divides 4434 without a remainder.

1, 2, 3, 6, 739, 1478, 2217, 4434

Factors of 4442

List of positive integer factors of 4442 that divides 4442 without a remainder.

1, 2, 2221, 4442

Least Common Multiple of 4434 and 4442 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4434 and 4442, than apply into the LCM equation.

GCF(4434,4442) = 2
LCM(4434,4442) = ( 4434 × 4442) / 2
LCM(4434,4442) = 19695828 / 2
LCM(4434,4442) = 9847914

Properties of LCM 4434 and 4442

(i) The LCM of 4442 and 4434 is associative

LCM of 4434 and 4442 = LCM of 4442 and 4434

Related Least Common Multiples of 4434

Related Least Common Multiples of 4442

Frequently Asked Questions on LCM of 4434 and 4442

1. What is the LCM of 4434 and 4442?

Answer: LCM of 4434 and 4442 is 9847914.

2. What are the Factors of 4434?

Answer: Factors of 4434 are 1, 2, 3, 6, 739, 1478, 2217, 4434. There are 8 integers that are factors of 4434. The greatest factor of 4434 is 4434.

3. What are the Factors of 4442?

Answer: Factors of 4442 are 1, 2, 2221, 4442. There are 4 integers that are factors of 4442. The greatest factor of 4442 is 4442.

4. How to Find the LCM of 4434 and 4442?

Answer:

Least Common Multiple of 4434 and 4442 = 9847914

Step 1: Find the prime factorization of 4434

4434 = 2 x 3 x 739

Step 2: Find the prime factorization of 4442

4442 = 2 x 2221

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

LCM = 9847914 = 2 x 3 x 739 x 2221

Step 4: Therefore, the least common multiple of 4434 and 4442 is 9847914.