Least Common Multiple of 7334 and 7338

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7334 and 7338 the smallest integer that is 26908446 that is divisible by both numbers.

Least Common Multiple (LCM) of 7334 and 7338 is 26908446.

LCM(7334,7338) = 26908446

LCM of 7334 and 7338

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

LCM of:
and

Least Common Multiple of 7334 and 7338

LCM of 7334 and 7338 is 26908446

Least common multiple can be found by multiplying the highest exponent prime factors of 7334 and 7338. First we will calculate the prime factors of 7334 and 7338.

Prime Factorization of 7334


2 7334
19 3667
193 193
1

Prime factors of 7334 are 2, 19,193. Prime factorization of 7334 in exponential form is:

7334 = 21×191×1931

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7334 and 7338.

LCM(7334,7338) = 21×31×191×1931×12231
LCM(7334,7338) = 26908446

Factors of 7334

List of positive integer factors of 7334 that divides 7334 without a remainder.

1, 2, 19, 38, 193, 386, 3667, 7334

Factors of 7338

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

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

Least Common Multiple of 7334 and 7338 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7334 and 7338, than apply into the LCM equation.

GCF(7334,7338) = 2
LCM(7334,7338) = ( 7334 × 7338) / 2
LCM(7334,7338) = 53816892 / 2
LCM(7334,7338) = 26908446

Properties of LCM 7334 and 7338

(i) The LCM of 7338 and 7334 is associative

LCM of 7334 and 7338 = LCM of 7338 and 7334

Related Least Common Multiples of 7334

Related Least Common Multiples of 7338

Frequently Asked Questions on LCM of 7334 and 7338

1. What is the LCM of 7334 and 7338?

Answer: LCM of 7334 and 7338 is 26908446.

2. What are the Factors of 7334?

Answer: Factors of 7334 are 1, 2, 19, 38, 193, 386, 3667, 7334. There are 8 integers that are factors of 7334. The greatest factor of 7334 is 7334.

3. 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.

4. How to Find the LCM of 7334 and 7338?

Answer:

Least Common Multiple of 7334 and 7338 = 26908446

Step 1: Find the prime factorization of 7334

7334 = 2 x 19 x 193

Step 2: Find the prime factorization of 7338

7338 = 2 x 3 x 1223

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

LCM = 26908446 = 2 x 3 x 19 x 193 x 1223

Step 4: Therefore, the least common multiple of 7334 and 7338 is 26908446.