Least Common Multiple of 7332 and 7338

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 7338 the smallest integer that is 8967036 that is divisible by both numbers.

Least Common Multiple (LCM) of 7332 and 7338 is 8967036.

LCM(7332,7338) = 8967036

LCM of 7332 and 7338

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

LCM of:
and

Least Common Multiple of 7332 and 7338

LCM of 7332 and 7338 is 8967036

Least common multiple can be found by multiplying the highest exponent prime factors of 7332 and 7338. First we will calculate the prime factors of 7332 and 7338.

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 7338


2 7338
3 3669
1223 1223
1

Prime factors of 7338 are 2, 3,1223. Prime factorization of 7338 in exponential form is:

7338 = 21×31×12231

Now multiplying the highest exponent prime factors to calculate the LCM of 7332 and 7338.

LCM(7332,7338) = 22×31×131×471×12231
LCM(7332,7338) = 8967036

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 7338

List of positive integer factors of 7338 that divides 7338 without a remainder.

1, 2, 3, 6, 1223, 2446, 3669, 7338

Least Common Multiple of 7332 and 7338 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 7338, than apply into the LCM equation.

GCF(7332,7338) = 6
LCM(7332,7338) = ( 7332 × 7338) / 6
LCM(7332,7338) = 53802216 / 6
LCM(7332,7338) = 8967036

Properties of LCM 7332 and 7338

(i) The LCM of 7338 and 7332 is associative

LCM of 7332 and 7338 = LCM of 7338 and 7332

Related Least Common Multiples of 7332

Related Least Common Multiples of 7338

Frequently Asked Questions on LCM of 7332 and 7338

1. What is the LCM of 7332 and 7338?

Answer: LCM of 7332 and 7338 is 8967036.

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 7338?

Answer: Factors of 7338 are 1, 2, 3, 6, 1223, 2446, 3669, 7338. There are 8 integers that are factors of 7338. The greatest factor of 7338 is 7338.

4. How to Find the LCM of 7332 and 7338?

Answer:

Least Common Multiple of 7332 and 7338 = 8967036

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 7338

7338 = 2 x 3 x 1223

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

LCM = 8967036 = 2 x 2 x 3 x 13 x 47 x 1223

Step 4: Therefore, the least common multiple of 7332 and 7338 is 8967036.