Least Common Multiple of 4412 and 4417

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4412 and 4417 the smallest integer that is 19487804 that is divisible by both numbers.

Least Common Multiple (LCM) of 4412 and 4417 is 19487804.

LCM(4412,4417) = 19487804

LCM of 4412 and 4417

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

LCM of:
and

Least Common Multiple of 4412 and 4417

LCM of 4412 and 4417 is 19487804

Least common multiple can be found by multiplying the highest exponent prime factors of 4412 and 4417. First we will calculate the prime factors of 4412 and 4417.

Prime Factorization of 4412


2 4412
2 2206
1103 1103
1

Prime factors of 4412 are 2,1103. Prime factorization of 4412 in exponential form is:

4412 = 22×11031

Prime Factorization of 4417


7 4417
631 631
1

Prime factors of 4417 are 7,631. Prime factorization of 4417 in exponential form is:

4417 = 71×6311

Now multiplying the highest exponent prime factors to calculate the LCM of 4412 and 4417.

LCM(4412,4417) = 22×71×6311×11031
LCM(4412,4417) = 19487804

Factors of 4412

List of positive integer factors of 4412 that divides 4412 without a remainder.

1, 2, 4, 1103, 2206, 4412

Factors of 4417

List of positive integer factors of 4417 that divides 4417 without a remainder.

1, 7, 631, 4417

Least Common Multiple of 4412 and 4417 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4412 and 4417, than apply into the LCM equation.

GCF(4412,4417) = 1
LCM(4412,4417) = ( 4412 × 4417) / 1
LCM(4412,4417) = 19487804 / 1
LCM(4412,4417) = 19487804

Properties of LCM 4412 and 4417

(i) The LCM of 4417 and 4412 is associative

LCM of 4412 and 4417 = LCM of 4417 and 4412

Related Least Common Multiples of 4412

Related Least Common Multiples of 4417

Frequently Asked Questions on LCM of 4412 and 4417

1. What is the LCM of 4412 and 4417?

Answer: LCM of 4412 and 4417 is 19487804.

2. What are the Factors of 4412?

Answer: Factors of 4412 are 1, 2, 4, 1103, 2206, 4412. There are 6 integers that are factors of 4412. The greatest factor of 4412 is 4412.

3. What are the Factors of 4417?

Answer: Factors of 4417 are 1, 7, 631, 4417. There are 4 integers that are factors of 4417. The greatest factor of 4417 is 4417.

4. How to Find the LCM of 4412 and 4417?

Answer:

Least Common Multiple of 4412 and 4417 = 19487804

Step 1: Find the prime factorization of 4412

4412 = 2 x 2 x 1103

Step 2: Find the prime factorization of 4417

4417 = 7 x 631

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

LCM = 19487804 = 2 x 2 x 7 x 631 x 1103

Step 4: Therefore, the least common multiple of 4412 and 4417 is 19487804.