Least Common Multiple of 7332 and 7339

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 7339 the smallest integer that is 53809548 that is divisible by both numbers.

Least Common Multiple (LCM) of 7332 and 7339 is 53809548.

LCM(7332,7339) = 53809548

LCM of 7332 and 7339

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

LCM of:
and

Least Common Multiple of 7332 and 7339

LCM of 7332 and 7339 is 53809548

Least common multiple can be found by multiplying the highest exponent prime factors of 7332 and 7339. First we will calculate the prime factors of 7332 and 7339.

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 7339


41 7339
179 179
1

Prime factors of 7339 are 41,179. Prime factorization of 7339 in exponential form is:

7339 = 411×1791

Now multiplying the highest exponent prime factors to calculate the LCM of 7332 and 7339.

LCM(7332,7339) = 22×31×131×411×471×1791
LCM(7332,7339) = 53809548

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 7339

List of positive integer factors of 7339 that divides 7339 without a remainder.

1, 41, 179, 7339

Least Common Multiple of 7332 and 7339 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 7339, than apply into the LCM equation.

GCF(7332,7339) = 1
LCM(7332,7339) = ( 7332 × 7339) / 1
LCM(7332,7339) = 53809548 / 1
LCM(7332,7339) = 53809548

Properties of LCM 7332 and 7339

(i) The LCM of 7339 and 7332 is associative

LCM of 7332 and 7339 = LCM of 7339 and 7332

Related Least Common Multiples of 7332

Related Least Common Multiples of 7339

Frequently Asked Questions on LCM of 7332 and 7339

1. What is the LCM of 7332 and 7339?

Answer: LCM of 7332 and 7339 is 53809548.

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 7339?

Answer: Factors of 7339 are 1, 41, 179, 7339. There are 4 integers that are factors of 7339. The greatest factor of 7339 is 7339.

4. How to Find the LCM of 7332 and 7339?

Answer:

Least Common Multiple of 7332 and 7339 = 53809548

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 7339

7339 = 41 x 179

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

LCM = 53809548 = 2 x 2 x 3 x 13 x 41 x 47 x 179

Step 4: Therefore, the least common multiple of 7332 and 7339 is 53809548.