Least Common Multiple of 4435 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 4435 and 4442 the smallest integer that is 19700270 that is divisible by both numbers.

Least Common Multiple (LCM) of 4435 and 4442 is 19700270.

LCM(4435,4442) = 19700270

LCM of 4435 and 4442

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

LCM of:
and

Least Common Multiple of 4435 and 4442

LCM of 4435 and 4442 is 19700270

Least common multiple can be found by multiplying the highest exponent prime factors of 4435 and 4442. First we will calculate the prime factors of 4435 and 4442.

Prime Factorization of 4435


5 4435
887 887
1

Prime factors of 4435 are 5,887. Prime factorization of 4435 in exponential form is:

4435 = 51×8871

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 4435 and 4442.

LCM(4435,4442) = 21×51×8871×22211
LCM(4435,4442) = 19700270

Factors of 4435

List of positive integer factors of 4435 that divides 4435 without a remainder.

1, 5, 887, 4435

Factors of 4442

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

1, 2, 2221, 4442

Least Common Multiple of 4435 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 4435 and 4442, than apply into the LCM equation.

GCF(4435,4442) = 1
LCM(4435,4442) = ( 4435 × 4442) / 1
LCM(4435,4442) = 19700270 / 1
LCM(4435,4442) = 19700270

Properties of LCM 4435 and 4442

(i) The LCM of 4442 and 4435 is associative

LCM of 4435 and 4442 = LCM of 4442 and 4435

Related Least Common Multiples of 4435

Related Least Common Multiples of 4442

Frequently Asked Questions on LCM of 4435 and 4442

1. What is the LCM of 4435 and 4442?

Answer: LCM of 4435 and 4442 is 19700270.

2. What are the Factors of 4435?

Answer: Factors of 4435 are 1, 5, 887, 4435. There are 4 integers that are factors of 4435. The greatest factor of 4435 is 4435.

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 4435 and 4442?

Answer:

Least Common Multiple of 4435 and 4442 = 19700270

Step 1: Find the prime factorization of 4435

4435 = 5 x 887

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 = 19700270 = 2 x 5 x 887 x 2221

Step 4: Therefore, the least common multiple of 4435 and 4442 is 19700270.