Least Common Multiple of 4412 and 4416

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 4416 the smallest integer that is 4870848 that is divisible by both numbers.

Least Common Multiple (LCM) of 4412 and 4416 is 4870848.

LCM(4412,4416) = 4870848

LCM of 4412 and 4416

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

LCM of:
and

Least Common Multiple of 4412 and 4416

LCM of 4412 and 4416 is 4870848

Least common multiple can be found by multiplying the highest exponent prime factors of 4412 and 4416. First we will calculate the prime factors of 4412 and 4416.

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 4416


2 4416
2 2208
2 1104
2 552
2 276
2 138
3 69
23 23
1

Prime factors of 4416 are 2, 3,23. Prime factorization of 4416 in exponential form is:

4416 = 26×31×231

Now multiplying the highest exponent prime factors to calculate the LCM of 4412 and 4416.

LCM(4412,4416) = 26×31×231×11031
LCM(4412,4416) = 4870848

Factors of 4412

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

1, 2, 4, 1103, 2206, 4412

Factors of 4416

List of positive integer factors of 4416 that divides 4416 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 23, 24, 32, 46, 48, 64, 69, 92, 96, 138, 184, 192, 276, 368, 552, 736, 1104, 1472, 2208, 4416

Least Common Multiple of 4412 and 4416 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 4416, than apply into the LCM equation.

GCF(4412,4416) = 4
LCM(4412,4416) = ( 4412 × 4416) / 4
LCM(4412,4416) = 19483392 / 4
LCM(4412,4416) = 4870848

Properties of LCM 4412 and 4416

(i) The LCM of 4416 and 4412 is associative

LCM of 4412 and 4416 = LCM of 4416 and 4412

Related Least Common Multiples of 4412

Related Least Common Multiples of 4416

Frequently Asked Questions on LCM of 4412 and 4416

1. What is the LCM of 4412 and 4416?

Answer: LCM of 4412 and 4416 is 4870848.

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 4416?

Answer: Factors of 4416 are 1, 2, 3, 4, 6, 8, 12, 16, 23, 24, 32, 46, 48, 64, 69, 92, 96, 138, 184, 192, 276, 368, 552, 736, 1104, 1472, 2208, 4416. There are 28 integers that are factors of 4416. The greatest factor of 4416 is 4416.

4. How to Find the LCM of 4412 and 4416?

Answer:

Least Common Multiple of 4412 and 4416 = 4870848

Step 1: Find the prime factorization of 4412

4412 = 2 x 2 x 1103

Step 2: Find the prime factorization of 4416

4416 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 23

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

LCM = 4870848 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 23 x 1103

Step 4: Therefore, the least common multiple of 4412 and 4416 is 4870848.