Least Common Multiple of 7236 and 7244

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7236 and 7244 the smallest integer that is 13104396 that is divisible by both numbers.

Least Common Multiple (LCM) of 7236 and 7244 is 13104396.

LCM(7236,7244) = 13104396

LCM of 7236 and 7244

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

LCM of:
and

Least Common Multiple of 7236 and 7244

LCM of 7236 and 7244 is 13104396

Least common multiple can be found by multiplying the highest exponent prime factors of 7236 and 7244. First we will calculate the prime factors of 7236 and 7244.

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

Prime Factorization of 7244


2 7244
2 3622
1811 1811
1

Prime factors of 7244 are 2,1811. Prime factorization of 7244 in exponential form is:

7244 = 22×18111

Now multiplying the highest exponent prime factors to calculate the LCM of 7236 and 7244.

LCM(7236,7244) = 22×33×671×18111
LCM(7236,7244) = 13104396

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

Factors of 7244

List of positive integer factors of 7244 that divides 7244 without a remainder.

1, 2, 4, 1811, 3622, 7244

Least Common Multiple of 7236 and 7244 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7236 and 7244, than apply into the LCM equation.

GCF(7236,7244) = 4
LCM(7236,7244) = ( 7236 × 7244) / 4
LCM(7236,7244) = 52417584 / 4
LCM(7236,7244) = 13104396

Properties of LCM 7236 and 7244

(i) The LCM of 7244 and 7236 is associative

LCM of 7236 and 7244 = LCM of 7244 and 7236

Related Least Common Multiples of 7236

Related Least Common Multiples of 7244

Frequently Asked Questions on LCM of 7236 and 7244

1. What is the LCM of 7236 and 7244?

Answer: LCM of 7236 and 7244 is 13104396.

2. 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.

3. What are the Factors of 7244?

Answer: Factors of 7244 are 1, 2, 4, 1811, 3622, 7244. There are 6 integers that are factors of 7244. The greatest factor of 7244 is 7244.

4. How to Find the LCM of 7236 and 7244?

Answer:

Least Common Multiple of 7236 and 7244 = 13104396

Step 1: Find the prime factorization of 7236

7236 = 2 x 2 x 3 x 3 x 3 x 67

Step 2: Find the prime factorization of 7244

7244 = 2 x 2 x 1811

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

LCM = 13104396 = 2 x 2 x 3 x 3 x 3 x 67 x 1811

Step 4: Therefore, the least common multiple of 7236 and 7244 is 13104396.