Least Common Multiple of 4418 and 4422

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4418 and 4422 the smallest integer that is 9768198 that is divisible by both numbers.

Least Common Multiple (LCM) of 4418 and 4422 is 9768198.

LCM(4418,4422) = 9768198

LCM of 4418 and 4422

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

LCM of:
and

Least Common Multiple of 4418 and 4422

LCM of 4418 and 4422 is 9768198

Least common multiple can be found by multiplying the highest exponent prime factors of 4418 and 4422. First we will calculate the prime factors of 4418 and 4422.

Prime Factorization of 4418


2 4418
47 2209
47 47
1

Prime factors of 4418 are 2,47. Prime factorization of 4418 in exponential form is:

4418 = 21×472

Prime Factorization of 4422


2 4422
3 2211
11 737
67 67
1

Prime factors of 4422 are 2, 3, 11,67. Prime factorization of 4422 in exponential form is:

4422 = 21×31×111×671

Now multiplying the highest exponent prime factors to calculate the LCM of 4418 and 4422.

LCM(4418,4422) = 21×31×111×472×671
LCM(4418,4422) = 9768198

Factors of 4418

List of positive integer factors of 4418 that divides 4418 without a remainder.

1, 2, 47, 94, 2209, 4418

Factors of 4422

List of positive integer factors of 4422 that divides 4422 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 67, 134, 201, 402, 737, 1474, 2211, 4422

Least Common Multiple of 4418 and 4422 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4418 and 4422, than apply into the LCM equation.

GCF(4418,4422) = 2
LCM(4418,4422) = ( 4418 × 4422) / 2
LCM(4418,4422) = 19536396 / 2
LCM(4418,4422) = 9768198

Properties of LCM 4418 and 4422

(i) The LCM of 4422 and 4418 is associative

LCM of 4418 and 4422 = LCM of 4422 and 4418

Related Least Common Multiples of 4418

Related Least Common Multiples of 4422

Frequently Asked Questions on LCM of 4418 and 4422

1. What is the LCM of 4418 and 4422?

Answer: LCM of 4418 and 4422 is 9768198.

2. What are the Factors of 4418?

Answer: Factors of 4418 are 1, 2, 47, 94, 2209, 4418. There are 6 integers that are factors of 4418. The greatest factor of 4418 is 4418.

3. What are the Factors of 4422?

Answer: Factors of 4422 are 1, 2, 3, 6, 11, 22, 33, 66, 67, 134, 201, 402, 737, 1474, 2211, 4422. There are 16 integers that are factors of 4422. The greatest factor of 4422 is 4422.

4. How to Find the LCM of 4418 and 4422?

Answer:

Least Common Multiple of 4418 and 4422 = 9768198

Step 1: Find the prime factorization of 4418

4418 = 2 x 47 x 47

Step 2: Find the prime factorization of 4422

4422 = 2 x 3 x 11 x 67

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

LCM = 9768198 = 2 x 3 x 11 x 47 x 47 x 67

Step 4: Therefore, the least common multiple of 4418 and 4422 is 9768198.