Least Common Multiple of 4442 and 4447

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 4447 the smallest integer that is 19753574 that is divisible by both numbers.

Least Common Multiple (LCM) of 4442 and 4447 is 19753574.

LCM(4442,4447) = 19753574

LCM of 4442 and 4447

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

LCM of:
and

Least Common Multiple of 4442 and 4447

LCM of 4442 and 4447 is 19753574

Least common multiple can be found by multiplying the highest exponent prime factors of 4442 and 4447. First we will calculate the prime factors of 4442 and 4447.

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 4447


4447 4447
1

Prime factors of 4447 are 4447. Prime factorization of 4447 in exponential form is:

4447 = 44471

Now multiplying the highest exponent prime factors to calculate the LCM of 4442 and 4447.

LCM(4442,4447) = 21×22211×44471
LCM(4442,4447) = 19753574

Factors of 4442

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

1, 2, 2221, 4442

Factors of 4447

List of positive integer factors of 4447 that divides 4447 without a remainder.

1, 4447

Least Common Multiple of 4442 and 4447 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 4447, than apply into the LCM equation.

GCF(4442,4447) = 1
LCM(4442,4447) = ( 4442 × 4447) / 1
LCM(4442,4447) = 19753574 / 1
LCM(4442,4447) = 19753574

Properties of LCM 4442 and 4447

(i) The LCM of 4447 and 4442 is associative

LCM of 4442 and 4447 = LCM of 4447 and 4442

Related Least Common Multiples of 4442

Related Least Common Multiples of 4447

Frequently Asked Questions on LCM of 4442 and 4447

1. What is the LCM of 4442 and 4447?

Answer: LCM of 4442 and 4447 is 19753574.

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 4447?

Answer: Factors of 4447 are 1, 4447. There are 2 integers that are factors of 4447. The greatest factor of 4447 is 4447.

4. How to Find the LCM of 4442 and 4447?

Answer:

Least Common Multiple of 4442 and 4447 = 19753574

Step 1: Find the prime factorization of 4442

4442 = 2 x 2221

Step 2: Find the prime factorization of 4447

4447 = 4447

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

LCM = 19753574 = 2 x 2221 x 4447

Step 4: Therefore, the least common multiple of 4442 and 4447 is 19753574.