Least Common Multiple of 4218 and 4226

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4218 and 4226 the smallest integer that is 8912634 that is divisible by both numbers.

Least Common Multiple (LCM) of 4218 and 4226 is 8912634.

LCM(4218,4226) = 8912634

LCM of 4218 and 4226

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

LCM of:
and

Least Common Multiple of 4218 and 4226

LCM of 4218 and 4226 is 8912634

Least common multiple can be found by multiplying the highest exponent prime factors of 4218 and 4226. First we will calculate the prime factors of 4218 and 4226.

Prime Factorization of 4218


2 4218
3 2109
19 703
37 37
1

Prime factors of 4218 are 2, 3, 19,37. Prime factorization of 4218 in exponential form is:

4218 = 21×31×191×371

Prime Factorization of 4226


2 4226
2113 2113
1

Prime factors of 4226 are 2,2113. Prime factorization of 4226 in exponential form is:

4226 = 21×21131

Now multiplying the highest exponent prime factors to calculate the LCM of 4218 and 4226.

LCM(4218,4226) = 21×31×191×371×21131
LCM(4218,4226) = 8912634

Factors of 4218

List of positive integer factors of 4218 that divides 4218 without a remainder.

1, 2, 3, 6, 19, 37, 38, 57, 74, 111, 114, 222, 703, 1406, 2109, 4218

Factors of 4226

List of positive integer factors of 4226 that divides 4226 without a remainder.

1, 2, 2113, 4226

Least Common Multiple of 4218 and 4226 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4218 and 4226, than apply into the LCM equation.

GCF(4218,4226) = 2
LCM(4218,4226) = ( 4218 × 4226) / 2
LCM(4218,4226) = 17825268 / 2
LCM(4218,4226) = 8912634

Properties of LCM 4218 and 4226

(i) The LCM of 4226 and 4218 is associative

LCM of 4218 and 4226 = LCM of 4226 and 4218

Related Least Common Multiples of 4218

Related Least Common Multiples of 4226

Frequently Asked Questions on LCM of 4218 and 4226

1. What is the LCM of 4218 and 4226?

Answer: LCM of 4218 and 4226 is 8912634.

2. What are the Factors of 4218?

Answer: Factors of 4218 are 1, 2, 3, 6, 19, 37, 38, 57, 74, 111, 114, 222, 703, 1406, 2109, 4218. There are 16 integers that are factors of 4218. The greatest factor of 4218 is 4218.

3. What are the Factors of 4226?

Answer: Factors of 4226 are 1, 2, 2113, 4226. There are 4 integers that are factors of 4226. The greatest factor of 4226 is 4226.

4. How to Find the LCM of 4218 and 4226?

Answer:

Least Common Multiple of 4218 and 4226 = 8912634

Step 1: Find the prime factorization of 4218

4218 = 2 x 3 x 19 x 37

Step 2: Find the prime factorization of 4226

4226 = 2 x 2113

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

LCM = 8912634 = 2 x 3 x 19 x 37 x 2113

Step 4: Therefore, the least common multiple of 4218 and 4226 is 8912634.