Least Common Multiple of 7734 and 7738

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7734 and 7738 the smallest integer that is 29922846 that is divisible by both numbers.

Least Common Multiple (LCM) of 7734 and 7738 is 29922846.

LCM(7734,7738) = 29922846

LCM of 7734 and 7738

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

LCM of:
and

Least Common Multiple of 7734 and 7738

LCM of 7734 and 7738 is 29922846

Least common multiple can be found by multiplying the highest exponent prime factors of 7734 and 7738. First we will calculate the prime factors of 7734 and 7738.

Prime Factorization of 7734


2 7734
3 3867
1289 1289
1

Prime factors of 7734 are 2, 3,1289. Prime factorization of 7734 in exponential form is:

7734 = 21×31×12891

Prime Factorization of 7738


2 7738
53 3869
73 73
1

Prime factors of 7738 are 2, 53,73. Prime factorization of 7738 in exponential form is:

7738 = 21×531×731

Now multiplying the highest exponent prime factors to calculate the LCM of 7734 and 7738.

LCM(7734,7738) = 21×31×531×731×12891
LCM(7734,7738) = 29922846

Factors of 7734

List of positive integer factors of 7734 that divides 7734 without a remainder.

1, 2, 3, 6, 1289, 2578, 3867, 7734

Factors of 7738

List of positive integer factors of 7738 that divides 7738 without a remainder.

1, 2, 53, 73, 106, 146, 3869, 7738

Least Common Multiple of 7734 and 7738 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7734 and 7738, than apply into the LCM equation.

GCF(7734,7738) = 2
LCM(7734,7738) = ( 7734 × 7738) / 2
LCM(7734,7738) = 59845692 / 2
LCM(7734,7738) = 29922846

Properties of LCM 7734 and 7738

(i) The LCM of 7738 and 7734 is associative

LCM of 7734 and 7738 = LCM of 7738 and 7734

Related Least Common Multiples of 7734

Related Least Common Multiples of 7738

Frequently Asked Questions on LCM of 7734 and 7738

1. What is the LCM of 7734 and 7738?

Answer: LCM of 7734 and 7738 is 29922846.

2. What are the Factors of 7734?

Answer: Factors of 7734 are 1, 2, 3, 6, 1289, 2578, 3867, 7734. There are 8 integers that are factors of 7734. The greatest factor of 7734 is 7734.

3. What are the Factors of 7738?

Answer: Factors of 7738 are 1, 2, 53, 73, 106, 146, 3869, 7738. There are 8 integers that are factors of 7738. The greatest factor of 7738 is 7738.

4. How to Find the LCM of 7734 and 7738?

Answer:

Least Common Multiple of 7734 and 7738 = 29922846

Step 1: Find the prime factorization of 7734

7734 = 2 x 3 x 1289

Step 2: Find the prime factorization of 7738

7738 = 2 x 53 x 73

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

LCM = 29922846 = 2 x 3 x 53 x 73 x 1289

Step 4: Therefore, the least common multiple of 7734 and 7738 is 29922846.