Least Common Multiple of 7236 and 7242

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 7242 the smallest integer that is 8733852 that is divisible by both numbers.

Least Common Multiple (LCM) of 7236 and 7242 is 8733852.

LCM(7236,7242) = 8733852

LCM of 7236 and 7242

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

LCM of:
and

Least Common Multiple of 7236 and 7242

LCM of 7236 and 7242 is 8733852

Least common multiple can be found by multiplying the highest exponent prime factors of 7236 and 7242. First we will calculate the prime factors of 7236 and 7242.

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 7242


2 7242
3 3621
17 1207
71 71
1

Prime factors of 7242 are 2, 3, 17,71. Prime factorization of 7242 in exponential form is:

7242 = 21×31×171×711

Now multiplying the highest exponent prime factors to calculate the LCM of 7236 and 7242.

LCM(7236,7242) = 22×33×171×671×711
LCM(7236,7242) = 8733852

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 7242

List of positive integer factors of 7242 that divides 7242 without a remainder.

1, 2, 3, 6, 17, 34, 51, 71, 102, 142, 213, 426, 1207, 2414, 3621, 7242

Least Common Multiple of 7236 and 7242 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 7242, than apply into the LCM equation.

GCF(7236,7242) = 6
LCM(7236,7242) = ( 7236 × 7242) / 6
LCM(7236,7242) = 52403112 / 6
LCM(7236,7242) = 8733852

Properties of LCM 7236 and 7242

(i) The LCM of 7242 and 7236 is associative

LCM of 7236 and 7242 = LCM of 7242 and 7236

Related Least Common Multiples of 7236

Related Least Common Multiples of 7242

Frequently Asked Questions on LCM of 7236 and 7242

1. What is the LCM of 7236 and 7242?

Answer: LCM of 7236 and 7242 is 8733852.

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 7242?

Answer: Factors of 7242 are 1, 2, 3, 6, 17, 34, 51, 71, 102, 142, 213, 426, 1207, 2414, 3621, 7242. There are 16 integers that are factors of 7242. The greatest factor of 7242 is 7242.

4. How to Find the LCM of 7236 and 7242?

Answer:

Least Common Multiple of 7236 and 7242 = 8733852

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 7242

7242 = 2 x 3 x 17 x 71

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

LCM = 8733852 = 2 x 2 x 3 x 3 x 3 x 17 x 67 x 71

Step 4: Therefore, the least common multiple of 7236 and 7242 is 8733852.