Least Common Multiple of 7332 and 7336

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7332 and 7336 the smallest integer that is 13446888 that is divisible by both numbers.

Least Common Multiple (LCM) of 7332 and 7336 is 13446888.

LCM(7332,7336) = 13446888

LCM of 7332 and 7336

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

LCM of:
and

Least Common Multiple of 7332 and 7336

LCM of 7332 and 7336 is 13446888

Least common multiple can be found by multiplying the highest exponent prime factors of 7332 and 7336. First we will calculate the prime factors of 7332 and 7336.

Prime Factorization of 7332


2 7332
2 3666
3 1833
13 611
47 47
1

Prime factors of 7332 are 2, 3, 13,47. Prime factorization of 7332 in exponential form is:

7332 = 22×31×131×471

Prime Factorization of 7336


2 7336
2 3668
2 1834
7 917
131 131
1

Prime factors of 7336 are 2, 7,131. Prime factorization of 7336 in exponential form is:

7336 = 23×71×1311

Now multiplying the highest exponent prime factors to calculate the LCM of 7332 and 7336.

LCM(7332,7336) = 23×31×71×131×471×1311
LCM(7332,7336) = 13446888

Factors of 7332

List of positive integer factors of 7332 that divides 7332 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 47, 52, 78, 94, 141, 156, 188, 282, 564, 611, 1222, 1833, 2444, 3666, 7332

Factors of 7336

List of positive integer factors of 7336 that divides 7336 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 131, 262, 524, 917, 1048, 1834, 3668, 7336

Least Common Multiple of 7332 and 7336 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7332 and 7336, than apply into the LCM equation.

GCF(7332,7336) = 4
LCM(7332,7336) = ( 7332 × 7336) / 4
LCM(7332,7336) = 53787552 / 4
LCM(7332,7336) = 13446888

Properties of LCM 7332 and 7336

(i) The LCM of 7336 and 7332 is associative

LCM of 7332 and 7336 = LCM of 7336 and 7332

Related Least Common Multiples of 7332

Related Least Common Multiples of 7336

Frequently Asked Questions on LCM of 7332 and 7336

1. What is the LCM of 7332 and 7336?

Answer: LCM of 7332 and 7336 is 13446888.

2. What are the Factors of 7332?

Answer: Factors of 7332 are 1, 2, 3, 4, 6, 12, 13, 26, 39, 47, 52, 78, 94, 141, 156, 188, 282, 564, 611, 1222, 1833, 2444, 3666, 7332. There are 24 integers that are factors of 7332. The greatest factor of 7332 is 7332.

3. What are the Factors of 7336?

Answer: Factors of 7336 are 1, 2, 4, 7, 8, 14, 28, 56, 131, 262, 524, 917, 1048, 1834, 3668, 7336. There are 16 integers that are factors of 7336. The greatest factor of 7336 is 7336.

4. How to Find the LCM of 7332 and 7336?

Answer:

Least Common Multiple of 7332 and 7336 = 13446888

Step 1: Find the prime factorization of 7332

7332 = 2 x 2 x 3 x 13 x 47

Step 2: Find the prime factorization of 7336

7336 = 2 x 2 x 2 x 7 x 131

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

LCM = 13446888 = 2 x 2 x 2 x 3 x 7 x 13 x 47 x 131

Step 4: Therefore, the least common multiple of 7332 and 7336 is 13446888.