Least Common Multiple of 7228 and 7236

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7228 and 7236 the smallest integer that is 13075452 that is divisible by both numbers.

Least Common Multiple (LCM) of 7228 and 7236 is 13075452.

LCM(7228,7236) = 13075452

LCM of 7228 and 7236

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

LCM of:
and

Least Common Multiple of 7228 and 7236

LCM of 7228 and 7236 is 13075452

Least common multiple can be found by multiplying the highest exponent prime factors of 7228 and 7236. First we will calculate the prime factors of 7228 and 7236.

Prime Factorization of 7228


2 7228
2 3614
13 1807
139 139
1

Prime factors of 7228 are 2, 13,139. Prime factorization of 7228 in exponential form is:

7228 = 22×131×1391

Prime Factorization of 7236


2 7236
2 3618
3 1809
3 603
3 201
67 67
1

Prime factors of 7236 are 2, 3,67. Prime factorization of 7236 in exponential form is:

7236 = 22×33×671

Now multiplying the highest exponent prime factors to calculate the LCM of 7228 and 7236.

LCM(7228,7236) = 22×33×131×671×1391
LCM(7228,7236) = 13075452

Factors of 7228

List of positive integer factors of 7228 that divides 7228 without a remainder.

1, 2, 4, 13, 26, 52, 139, 278, 556, 1807, 3614, 7228

Factors of 7236

List of positive integer factors of 7236 that divides 7236 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 67, 108, 134, 201, 268, 402, 603, 804, 1206, 1809, 2412, 3618, 7236

Least Common Multiple of 7228 and 7236 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7228 and 7236, than apply into the LCM equation.

GCF(7228,7236) = 4
LCM(7228,7236) = ( 7228 × 7236) / 4
LCM(7228,7236) = 52301808 / 4
LCM(7228,7236) = 13075452

Properties of LCM 7228 and 7236

(i) The LCM of 7236 and 7228 is associative

LCM of 7228 and 7236 = LCM of 7236 and 7228

Related Least Common Multiples of 7228

Related Least Common Multiples of 7236

Frequently Asked Questions on LCM of 7228 and 7236

1. What is the LCM of 7228 and 7236?

Answer: LCM of 7228 and 7236 is 13075452.

2. What are the Factors of 7228?

Answer: Factors of 7228 are 1, 2, 4, 13, 26, 52, 139, 278, 556, 1807, 3614, 7228. There are 12 integers that are factors of 7228. The greatest factor of 7228 is 7228.

3. What are the Factors of 7236?

Answer: Factors of 7236 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 67, 108, 134, 201, 268, 402, 603, 804, 1206, 1809, 2412, 3618, 7236. There are 24 integers that are factors of 7236. The greatest factor of 7236 is 7236.

4. How to Find the LCM of 7228 and 7236?

Answer:

Least Common Multiple of 7228 and 7236 = 13075452

Step 1: Find the prime factorization of 7228

7228 = 2 x 2 x 13 x 139

Step 2: Find the prime factorization of 7236

7236 = 2 x 2 x 3 x 3 x 3 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 = 13075452 = 2 x 2 x 3 x 3 x 3 x 13 x 67 x 139

Step 4: Therefore, the least common multiple of 7228 and 7236 is 13075452.