Least Common Multiple of 7332 and 7335

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 7335 the smallest integer that is 17926740 that is divisible by both numbers.

Least Common Multiple (LCM) of 7332 and 7335 is 17926740.

LCM(7332,7335) = 17926740

LCM of 7332 and 7335

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

LCM of:
and

Least Common Multiple of 7332 and 7335

LCM of 7332 and 7335 is 17926740

Least common multiple can be found by multiplying the highest exponent prime factors of 7332 and 7335. First we will calculate the prime factors of 7332 and 7335.

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 7335


3 7335
3 2445
5 815
163 163
1

Prime factors of 7335 are 3, 5,163. Prime factorization of 7335 in exponential form is:

7335 = 32×51×1631

Now multiplying the highest exponent prime factors to calculate the LCM of 7332 and 7335.

LCM(7332,7335) = 22×32×51×131×471×1631
LCM(7332,7335) = 17926740

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 7335

List of positive integer factors of 7335 that divides 7335 without a remainder.

1, 3, 5, 9, 15, 45, 163, 489, 815, 1467, 2445, 7335

Least Common Multiple of 7332 and 7335 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 7335, than apply into the LCM equation.

GCF(7332,7335) = 3
LCM(7332,7335) = ( 7332 × 7335) / 3
LCM(7332,7335) = 53780220 / 3
LCM(7332,7335) = 17926740

Properties of LCM 7332 and 7335

(i) The LCM of 7335 and 7332 is associative

LCM of 7332 and 7335 = LCM of 7335 and 7332

Related Least Common Multiples of 7332

Related Least Common Multiples of 7335

Frequently Asked Questions on LCM of 7332 and 7335

1. What is the LCM of 7332 and 7335?

Answer: LCM of 7332 and 7335 is 17926740.

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 7335?

Answer: Factors of 7335 are 1, 3, 5, 9, 15, 45, 163, 489, 815, 1467, 2445, 7335. There are 12 integers that are factors of 7335. The greatest factor of 7335 is 7335.

4. How to Find the LCM of 7332 and 7335?

Answer:

Least Common Multiple of 7332 and 7335 = 17926740

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 7335

7335 = 3 x 3 x 5 x 163

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

LCM = 17926740 = 2 x 2 x 3 x 3 x 5 x 13 x 47 x 163

Step 4: Therefore, the least common multiple of 7332 and 7335 is 17926740.