Least Common Multiple of 7338 and 7345

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7338 and 7345 the smallest integer that is 53897610 that is divisible by both numbers.

Least Common Multiple (LCM) of 7338 and 7345 is 53897610.

LCM(7338,7345) = 53897610

LCM of 7338 and 7345

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

LCM of:
and

Least Common Multiple of 7338 and 7345

LCM of 7338 and 7345 is 53897610

Least common multiple can be found by multiplying the highest exponent prime factors of 7338 and 7345. First we will calculate the prime factors of 7338 and 7345.

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

Prime Factorization of 7345


5 7345
13 1469
113 113
1

Prime factors of 7345 are 5, 13,113. Prime factorization of 7345 in exponential form is:

7345 = 51×131×1131

Now multiplying the highest exponent prime factors to calculate the LCM of 7338 and 7345.

LCM(7338,7345) = 21×31×51×131×1131×12231
LCM(7338,7345) = 53897610

Factors of 7338

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

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

Factors of 7345

List of positive integer factors of 7345 that divides 7345 without a remainder.

1, 5, 13, 65, 113, 565, 1469, 7345

Least Common Multiple of 7338 and 7345 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7338 and 7345, than apply into the LCM equation.

GCF(7338,7345) = 1
LCM(7338,7345) = ( 7338 × 7345) / 1
LCM(7338,7345) = 53897610 / 1
LCM(7338,7345) = 53897610

Properties of LCM 7338 and 7345

(i) The LCM of 7345 and 7338 is associative

LCM of 7338 and 7345 = LCM of 7345 and 7338

Related Least Common Multiples of 7338

Related Least Common Multiples of 7345

Frequently Asked Questions on LCM of 7338 and 7345

1. What is the LCM of 7338 and 7345?

Answer: LCM of 7338 and 7345 is 53897610.

2. 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.

3. What are the Factors of 7345?

Answer: Factors of 7345 are 1, 5, 13, 65, 113, 565, 1469, 7345. There are 8 integers that are factors of 7345. The greatest factor of 7345 is 7345.

4. How to Find the LCM of 7338 and 7345?

Answer:

Least Common Multiple of 7338 and 7345 = 53897610

Step 1: Find the prime factorization of 7338

7338 = 2 x 3 x 1223

Step 2: Find the prime factorization of 7345

7345 = 5 x 13 x 113

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

LCM = 53897610 = 2 x 3 x 5 x 13 x 113 x 1223

Step 4: Therefore, the least common multiple of 7338 and 7345 is 53897610.