Least Common Multiple of 4442 and 4445

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4442 and 4445 the smallest integer that is 19744690 that is divisible by both numbers.

Least Common Multiple (LCM) of 4442 and 4445 is 19744690.

LCM(4442,4445) = 19744690

LCM of 4442 and 4445

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

LCM of:
and

Least Common Multiple of 4442 and 4445

LCM of 4442 and 4445 is 19744690

Least common multiple can be found by multiplying the highest exponent prime factors of 4442 and 4445. First we will calculate the prime factors of 4442 and 4445.

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

Prime Factorization of 4445


5 4445
7 889
127 127
1

Prime factors of 4445 are 5, 7,127. Prime factorization of 4445 in exponential form is:

4445 = 51×71×1271

Now multiplying the highest exponent prime factors to calculate the LCM of 4442 and 4445.

LCM(4442,4445) = 21×51×71×1271×22211
LCM(4442,4445) = 19744690

Factors of 4442

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

1, 2, 2221, 4442

Factors of 4445

List of positive integer factors of 4445 that divides 4445 without a remainder.

1, 5, 7, 35, 127, 635, 889, 4445

Least Common Multiple of 4442 and 4445 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4442 and 4445, than apply into the LCM equation.

GCF(4442,4445) = 1
LCM(4442,4445) = ( 4442 × 4445) / 1
LCM(4442,4445) = 19744690 / 1
LCM(4442,4445) = 19744690

Properties of LCM 4442 and 4445

(i) The LCM of 4445 and 4442 is associative

LCM of 4442 and 4445 = LCM of 4445 and 4442

Related Least Common Multiples of 4442

Related Least Common Multiples of 4445

Frequently Asked Questions on LCM of 4442 and 4445

1. What is the LCM of 4442 and 4445?

Answer: LCM of 4442 and 4445 is 19744690.

2. 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.

3. What are the Factors of 4445?

Answer: Factors of 4445 are 1, 5, 7, 35, 127, 635, 889, 4445. There are 8 integers that are factors of 4445. The greatest factor of 4445 is 4445.

4. How to Find the LCM of 4442 and 4445?

Answer:

Least Common Multiple of 4442 and 4445 = 19744690

Step 1: Find the prime factorization of 4442

4442 = 2 x 2221

Step 2: Find the prime factorization of 4445

4445 = 5 x 7 x 127

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

LCM = 19744690 = 2 x 5 x 7 x 127 x 2221

Step 4: Therefore, the least common multiple of 4442 and 4445 is 19744690.