Least Common Multiple of 4426 and 4434

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4426 and 4434 the smallest integer that is 9812442 that is divisible by both numbers.

Least Common Multiple (LCM) of 4426 and 4434 is 9812442.

LCM(4426,4434) = 9812442

LCM of 4426 and 4434

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

LCM of:
and

Least Common Multiple of 4426 and 4434

LCM of 4426 and 4434 is 9812442

Least common multiple can be found by multiplying the highest exponent prime factors of 4426 and 4434. First we will calculate the prime factors of 4426 and 4434.

Prime Factorization of 4426


2 4426
2213 2213
1

Prime factors of 4426 are 2,2213. Prime factorization of 4426 in exponential form is:

4426 = 21×22131

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4426 and 4434.

LCM(4426,4434) = 21×31×7391×22131
LCM(4426,4434) = 9812442

Factors of 4426

List of positive integer factors of 4426 that divides 4426 without a remainder.

1, 2, 2213, 4426

Factors of 4434

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

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

Least Common Multiple of 4426 and 4434 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4426 and 4434, than apply into the LCM equation.

GCF(4426,4434) = 2
LCM(4426,4434) = ( 4426 × 4434) / 2
LCM(4426,4434) = 19624884 / 2
LCM(4426,4434) = 9812442

Properties of LCM 4426 and 4434

(i) The LCM of 4434 and 4426 is associative

LCM of 4426 and 4434 = LCM of 4434 and 4426

Related Least Common Multiples of 4426

Related Least Common Multiples of 4434

Frequently Asked Questions on LCM of 4426 and 4434

1. What is the LCM of 4426 and 4434?

Answer: LCM of 4426 and 4434 is 9812442.

2. What are the Factors of 4426?

Answer: Factors of 4426 are 1, 2, 2213, 4426. There are 4 integers that are factors of 4426. The greatest factor of 4426 is 4426.

3. 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.

4. How to Find the LCM of 4426 and 4434?

Answer:

Least Common Multiple of 4426 and 4434 = 9812442

Step 1: Find the prime factorization of 4426

4426 = 2 x 2213

Step 2: Find the prime factorization of 4434

4434 = 2 x 3 x 739

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

LCM = 9812442 = 2 x 3 x 739 x 2213

Step 4: Therefore, the least common multiple of 4426 and 4434 is 9812442.