Least Common Multiple of 4226 and 4230

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4226 and 4230 the smallest integer that is 8937990 that is divisible by both numbers.

Least Common Multiple (LCM) of 4226 and 4230 is 8937990.

LCM(4226,4230) = 8937990

LCM of 4226 and 4230

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

LCM of:
and

Least Common Multiple of 4226 and 4230

LCM of 4226 and 4230 is 8937990

Least common multiple can be found by multiplying the highest exponent prime factors of 4226 and 4230. First we will calculate the prime factors of 4226 and 4230.

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

Prime Factorization of 4230


2 4230
3 2115
3 705
5 235
47 47
1

Prime factors of 4230 are 2, 3, 5,47. Prime factorization of 4230 in exponential form is:

4230 = 21×32×51×471

Now multiplying the highest exponent prime factors to calculate the LCM of 4226 and 4230.

LCM(4226,4230) = 21×32×51×471×21131
LCM(4226,4230) = 8937990

Factors of 4226

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

1, 2, 2113, 4226

Factors of 4230

List of positive integer factors of 4230 that divides 4230 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 47, 90, 94, 141, 235, 282, 423, 470, 705, 846, 1410, 2115, 4230

Least Common Multiple of 4226 and 4230 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4226 and 4230, than apply into the LCM equation.

GCF(4226,4230) = 2
LCM(4226,4230) = ( 4226 × 4230) / 2
LCM(4226,4230) = 17875980 / 2
LCM(4226,4230) = 8937990

Properties of LCM 4226 and 4230

(i) The LCM of 4230 and 4226 is associative

LCM of 4226 and 4230 = LCM of 4230 and 4226

Related Least Common Multiples of 4226

Related Least Common Multiples of 4230

Frequently Asked Questions on LCM of 4226 and 4230

1. What is the LCM of 4226 and 4230?

Answer: LCM of 4226 and 4230 is 8937990.

2. 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.

3. What are the Factors of 4230?

Answer: Factors of 4230 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 47, 90, 94, 141, 235, 282, 423, 470, 705, 846, 1410, 2115, 4230. There are 24 integers that are factors of 4230. The greatest factor of 4230 is 4230.

4. How to Find the LCM of 4226 and 4230?

Answer:

Least Common Multiple of 4226 and 4230 = 8937990

Step 1: Find the prime factorization of 4226

4226 = 2 x 2113

Step 2: Find the prime factorization of 4230

4230 = 2 x 3 x 3 x 5 x 47

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

LCM = 8937990 = 2 x 3 x 3 x 5 x 47 x 2113

Step 4: Therefore, the least common multiple of 4226 and 4230 is 8937990.