Least Common Multiple of 7229 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 7229 and 7236 the smallest integer that is 52309044 that is divisible by both numbers.

Least Common Multiple (LCM) of 7229 and 7236 is 52309044.

LCM(7229,7236) = 52309044

LCM of 7229 and 7236

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

LCM of:
and

Least Common Multiple of 7229 and 7236

LCM of 7229 and 7236 is 52309044

Least common multiple can be found by multiplying the highest exponent prime factors of 7229 and 7236. First we will calculate the prime factors of 7229 and 7236.

Prime Factorization of 7229


7229 7229
1

Prime factors of 7229 are 7229. Prime factorization of 7229 in exponential form is:

7229 = 72291

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 7229 and 7236.

LCM(7229,7236) = 22×33×671×72291
LCM(7229,7236) = 52309044

Factors of 7229

List of positive integer factors of 7229 that divides 7229 without a remainder.

1, 7229

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 7229 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 7229 and 7236, than apply into the LCM equation.

GCF(7229,7236) = 1
LCM(7229,7236) = ( 7229 × 7236) / 1
LCM(7229,7236) = 52309044 / 1
LCM(7229,7236) = 52309044

Properties of LCM 7229 and 7236

(i) The LCM of 7236 and 7229 is associative

LCM of 7229 and 7236 = LCM of 7236 and 7229

Related Least Common Multiples of 7229

Related Least Common Multiples of 7236

Frequently Asked Questions on LCM of 7229 and 7236

1. What is the LCM of 7229 and 7236?

Answer: LCM of 7229 and 7236 is 52309044.

2. What are the Factors of 7229?

Answer: Factors of 7229 are 1, 7229. There are 2 integers that are factors of 7229. The greatest factor of 7229 is 7229.

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 7229 and 7236?

Answer:

Least Common Multiple of 7229 and 7236 = 52309044

Step 1: Find the prime factorization of 7229

7229 = 7229

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 = 52309044 = 2 x 2 x 3 x 3 x 3 x 67 x 7229

Step 4: Therefore, the least common multiple of 7229 and 7236 is 52309044.