Least Common Multiple of 7334 and 7342

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 7342 the smallest integer that is 26923114 that is divisible by both numbers.

Least Common Multiple (LCM) of 7334 and 7342 is 26923114.

LCM(7334,7342) = 26923114

LCM of 7334 and 7342

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

LCM of:
and

Least Common Multiple of 7334 and 7342

LCM of 7334 and 7342 is 26923114

Least common multiple can be found by multiplying the highest exponent prime factors of 7334 and 7342. First we will calculate the prime factors of 7334 and 7342.

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 7342


2 7342
3671 3671
1

Prime factors of 7342 are 2,3671. Prime factorization of 7342 in exponential form is:

7342 = 21×36711

Now multiplying the highest exponent prime factors to calculate the LCM of 7334 and 7342.

LCM(7334,7342) = 21×191×1931×36711
LCM(7334,7342) = 26923114

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 7342

List of positive integer factors of 7342 that divides 7342 without a remainder.

1, 2, 3671, 7342

Least Common Multiple of 7334 and 7342 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 7342, than apply into the LCM equation.

GCF(7334,7342) = 2
LCM(7334,7342) = ( 7334 × 7342) / 2
LCM(7334,7342) = 53846228 / 2
LCM(7334,7342) = 26923114

Properties of LCM 7334 and 7342

(i) The LCM of 7342 and 7334 is associative

LCM of 7334 and 7342 = LCM of 7342 and 7334

Related Least Common Multiples of 7334

Related Least Common Multiples of 7342

Frequently Asked Questions on LCM of 7334 and 7342

1. What is the LCM of 7334 and 7342?

Answer: LCM of 7334 and 7342 is 26923114.

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 7342?

Answer: Factors of 7342 are 1, 2, 3671, 7342. There are 4 integers that are factors of 7342. The greatest factor of 7342 is 7342.

4. How to Find the LCM of 7334 and 7342?

Answer:

Least Common Multiple of 7334 and 7342 = 26923114

Step 1: Find the prime factorization of 7334

7334 = 2 x 19 x 193

Step 2: Find the prime factorization of 7342

7342 = 2 x 3671

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

LCM = 26923114 = 2 x 19 x 193 x 3671

Step 4: Therefore, the least common multiple of 7334 and 7342 is 26923114.