Least Common Multiple of 4228 and 4236

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4228 and 4236 the smallest integer that is 4477452 that is divisible by both numbers.

Least Common Multiple (LCM) of 4228 and 4236 is 4477452.

LCM(4228,4236) = 4477452

LCM of 4228 and 4236

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

LCM of:
and

Least Common Multiple of 4228 and 4236

LCM of 4228 and 4236 is 4477452

Least common multiple can be found by multiplying the highest exponent prime factors of 4228 and 4236. First we will calculate the prime factors of 4228 and 4236.

Prime Factorization of 4228


2 4228
2 2114
7 1057
151 151
1

Prime factors of 4228 are 2, 7,151. Prime factorization of 4228 in exponential form is:

4228 = 22×71×1511

Prime Factorization of 4236


2 4236
2 2118
3 1059
353 353
1

Prime factors of 4236 are 2, 3,353. Prime factorization of 4236 in exponential form is:

4236 = 22×31×3531

Now multiplying the highest exponent prime factors to calculate the LCM of 4228 and 4236.

LCM(4228,4236) = 22×31×71×1511×3531
LCM(4228,4236) = 4477452

Factors of 4228

List of positive integer factors of 4228 that divides 4228 without a remainder.

1, 2, 4, 7, 14, 28, 151, 302, 604, 1057, 2114, 4228

Factors of 4236

List of positive integer factors of 4236 that divides 4236 without a remainder.

1, 2, 3, 4, 6, 12, 353, 706, 1059, 1412, 2118, 4236

Least Common Multiple of 4228 and 4236 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4228 and 4236, than apply into the LCM equation.

GCF(4228,4236) = 4
LCM(4228,4236) = ( 4228 × 4236) / 4
LCM(4228,4236) = 17909808 / 4
LCM(4228,4236) = 4477452

Properties of LCM 4228 and 4236

(i) The LCM of 4236 and 4228 is associative

LCM of 4228 and 4236 = LCM of 4236 and 4228

Related Least Common Multiples of 4228

Related Least Common Multiples of 4236

Frequently Asked Questions on LCM of 4228 and 4236

1. What is the LCM of 4228 and 4236?

Answer: LCM of 4228 and 4236 is 4477452.

2. What are the Factors of 4228?

Answer: Factors of 4228 are 1, 2, 4, 7, 14, 28, 151, 302, 604, 1057, 2114, 4228. There are 12 integers that are factors of 4228. The greatest factor of 4228 is 4228.

3. What are the Factors of 4236?

Answer: Factors of 4236 are 1, 2, 3, 4, 6, 12, 353, 706, 1059, 1412, 2118, 4236. There are 12 integers that are factors of 4236. The greatest factor of 4236 is 4236.

4. How to Find the LCM of 4228 and 4236?

Answer:

Least Common Multiple of 4228 and 4236 = 4477452

Step 1: Find the prime factorization of 4228

4228 = 2 x 2 x 7 x 151

Step 2: Find the prime factorization of 4236

4236 = 2 x 2 x 3 x 353

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

LCM = 4477452 = 2 x 2 x 3 x 7 x 151 x 353

Step 4: Therefore, the least common multiple of 4228 and 4236 is 4477452.