Least Common Multiple of 4407 and 4412

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4407 and 4412 the smallest integer that is 19443684 that is divisible by both numbers.

Least Common Multiple (LCM) of 4407 and 4412 is 19443684.

LCM(4407,4412) = 19443684

LCM of 4407 and 4412

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

LCM of:
and

Least Common Multiple of 4407 and 4412

LCM of 4407 and 4412 is 19443684

Least common multiple can be found by multiplying the highest exponent prime factors of 4407 and 4412. First we will calculate the prime factors of 4407 and 4412.

Prime Factorization of 4407


3 4407
13 1469
113 113
1

Prime factors of 4407 are 3, 13,113. Prime factorization of 4407 in exponential form is:

4407 = 31×131×1131

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4407 and 4412.

LCM(4407,4412) = 22×31×131×1131×11031
LCM(4407,4412) = 19443684

Factors of 4407

List of positive integer factors of 4407 that divides 4407 without a remainder.

1, 3, 13, 39, 113, 339, 1469, 4407

Factors of 4412

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

1, 2, 4, 1103, 2206, 4412

Least Common Multiple of 4407 and 4412 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4407 and 4412, than apply into the LCM equation.

GCF(4407,4412) = 1
LCM(4407,4412) = ( 4407 × 4412) / 1
LCM(4407,4412) = 19443684 / 1
LCM(4407,4412) = 19443684

Properties of LCM 4407 and 4412

(i) The LCM of 4412 and 4407 is associative

LCM of 4407 and 4412 = LCM of 4412 and 4407

Related Least Common Multiples of 4407

Related Least Common Multiples of 4412

Frequently Asked Questions on LCM of 4407 and 4412

1. What is the LCM of 4407 and 4412?

Answer: LCM of 4407 and 4412 is 19443684.

2. What are the Factors of 4407?

Answer: Factors of 4407 are 1, 3, 13, 39, 113, 339, 1469, 4407. There are 8 integers that are factors of 4407. The greatest factor of 4407 is 4407.

3. 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.

4. How to Find the LCM of 4407 and 4412?

Answer:

Least Common Multiple of 4407 and 4412 = 19443684

Step 1: Find the prime factorization of 4407

4407 = 3 x 13 x 113

Step 2: Find the prime factorization of 4412

4412 = 2 x 2 x 1103

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

LCM = 19443684 = 2 x 2 x 3 x 13 x 113 x 1103

Step 4: Therefore, the least common multiple of 4407 and 4412 is 19443684.