Least Common Multiple of 7332 and 7337

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 7337 the smallest integer that is 53794884 that is divisible by both numbers.

Least Common Multiple (LCM) of 7332 and 7337 is 53794884.

LCM(7332,7337) = 53794884

LCM of 7332 and 7337

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

LCM of:
and

Least Common Multiple of 7332 and 7337

LCM of 7332 and 7337 is 53794884

Least common multiple can be found by multiplying the highest exponent prime factors of 7332 and 7337. First we will calculate the prime factors of 7332 and 7337.

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 7337


11 7337
23 667
29 29
1

Prime factors of 7337 are 11, 23,29. Prime factorization of 7337 in exponential form is:

7337 = 111×231×291

Now multiplying the highest exponent prime factors to calculate the LCM of 7332 and 7337.

LCM(7332,7337) = 22×31×111×131×231×291×471
LCM(7332,7337) = 53794884

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 7337

List of positive integer factors of 7337 that divides 7337 without a remainder.

1, 11, 23, 29, 253, 319, 667, 7337

Least Common Multiple of 7332 and 7337 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 7337, than apply into the LCM equation.

GCF(7332,7337) = 1
LCM(7332,7337) = ( 7332 × 7337) / 1
LCM(7332,7337) = 53794884 / 1
LCM(7332,7337) = 53794884

Properties of LCM 7332 and 7337

(i) The LCM of 7337 and 7332 is associative

LCM of 7332 and 7337 = LCM of 7337 and 7332

Related Least Common Multiples of 7332

Related Least Common Multiples of 7337

Frequently Asked Questions on LCM of 7332 and 7337

1. What is the LCM of 7332 and 7337?

Answer: LCM of 7332 and 7337 is 53794884.

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 7337?

Answer: Factors of 7337 are 1, 11, 23, 29, 253, 319, 667, 7337. There are 8 integers that are factors of 7337. The greatest factor of 7337 is 7337.

4. How to Find the LCM of 7332 and 7337?

Answer:

Least Common Multiple of 7332 and 7337 = 53794884

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 7337

7337 = 11 x 23 x 29

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

LCM = 53794884 = 2 x 2 x 3 x 11 x 13 x 23 x 29 x 47

Step 4: Therefore, the least common multiple of 7332 and 7337 is 53794884.