Least Common Multiple of 7331 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 7331 and 7336 the smallest integer that is 53780216 that is divisible by both numbers.

Least Common Multiple (LCM) of 7331 and 7336 is 53780216.

LCM(7331,7336) = 53780216

LCM of 7331 and 7336

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

LCM of:
and

Least Common Multiple of 7331 and 7336

LCM of 7331 and 7336 is 53780216

Least common multiple can be found by multiplying the highest exponent prime factors of 7331 and 7336. First we will calculate the prime factors of 7331 and 7336.

Prime Factorization of 7331


7331 7331
1

Prime factors of 7331 are 7331. Prime factorization of 7331 in exponential form is:

7331 = 73311

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 7331 and 7336.

LCM(7331,7336) = 23×71×1311×73311
LCM(7331,7336) = 53780216

Factors of 7331

List of positive integer factors of 7331 that divides 7331 without a remainder.

1, 7331

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 7331 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 7331 and 7336, than apply into the LCM equation.

GCF(7331,7336) = 1
LCM(7331,7336) = ( 7331 × 7336) / 1
LCM(7331,7336) = 53780216 / 1
LCM(7331,7336) = 53780216

Properties of LCM 7331 and 7336

(i) The LCM of 7336 and 7331 is associative

LCM of 7331 and 7336 = LCM of 7336 and 7331

Related Least Common Multiples of 7331

Related Least Common Multiples of 7336

Frequently Asked Questions on LCM of 7331 and 7336

1. What is the LCM of 7331 and 7336?

Answer: LCM of 7331 and 7336 is 53780216.

2. What are the Factors of 7331?

Answer: Factors of 7331 are 1, 7331. There are 2 integers that are factors of 7331. The greatest factor of 7331 is 7331.

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 7331 and 7336?

Answer:

Least Common Multiple of 7331 and 7336 = 53780216

Step 1: Find the prime factorization of 7331

7331 = 7331

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 = 53780216 = 2 x 2 x 2 x 7 x 131 x 7331

Step 4: Therefore, the least common multiple of 7331 and 7336 is 53780216.