Least Common Multiple of 4224 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 4224 and 4226 the smallest integer that is 8925312 that is divisible by both numbers.

Least Common Multiple (LCM) of 4224 and 4226 is 8925312.

LCM(4224,4226) = 8925312

LCM of 4224 and 4226

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

LCM of:
and

Least Common Multiple of 4224 and 4226

LCM of 4224 and 4226 is 8925312

Least common multiple can be found by multiplying the highest exponent prime factors of 4224 and 4226. First we will calculate the prime factors of 4224 and 4226.

Prime Factorization of 4224


2 4224
2 2112
2 1056
2 528
2 264
2 132
2 66
3 33
11 11
1

Prime factors of 4224 are 2, 3,11. Prime factorization of 4224 in exponential form is:

4224 = 27×31×111

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 4224 and 4226.

LCM(4224,4226) = 27×31×111×21131
LCM(4224,4226) = 8925312

Factors of 4224

List of positive integer factors of 4224 that divides 4224 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 32, 33, 44, 48, 64, 66, 88, 96, 128, 132, 176, 192, 264, 352, 384, 528, 704, 1056, 1408, 2112, 4224

Factors of 4226

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

1, 2, 2113, 4226

Least Common Multiple of 4224 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 4224 and 4226, than apply into the LCM equation.

GCF(4224,4226) = 2
LCM(4224,4226) = ( 4224 × 4226) / 2
LCM(4224,4226) = 17850624 / 2
LCM(4224,4226) = 8925312

Properties of LCM 4224 and 4226

(i) The LCM of 4226 and 4224 is associative

LCM of 4224 and 4226 = LCM of 4226 and 4224

Related Least Common Multiples of 4224

Related Least Common Multiples of 4226

Frequently Asked Questions on LCM of 4224 and 4226

1. What is the LCM of 4224 and 4226?

Answer: LCM of 4224 and 4226 is 8925312.

2. What are the Factors of 4224?

Answer: Factors of 4224 are 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 32, 33, 44, 48, 64, 66, 88, 96, 128, 132, 176, 192, 264, 352, 384, 528, 704, 1056, 1408, 2112, 4224. There are 32 integers that are factors of 4224. The greatest factor of 4224 is 4224.

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 4224 and 4226?

Answer:

Least Common Multiple of 4224 and 4226 = 8925312

Step 1: Find the prime factorization of 4224

4224 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 11

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 = 8925312 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 11 x 2113

Step 4: Therefore, the least common multiple of 4224 and 4226 is 8925312.