Least Common Multiple of 7734 and 7741

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 7741 the smallest integer that is 59868894 that is divisible by both numbers.

Least Common Multiple (LCM) of 7734 and 7741 is 59868894.

LCM(7734,7741) = 59868894

LCM of 7734 and 7741

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

LCM of:
and

Least Common Multiple of 7734 and 7741

LCM of 7734 and 7741 is 59868894

Least common multiple can be found by multiplying the highest exponent prime factors of 7734 and 7741. First we will calculate the prime factors of 7734 and 7741.

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 7741


7741 7741
1

Prime factors of 7741 are 7741. Prime factorization of 7741 in exponential form is:

7741 = 77411

Now multiplying the highest exponent prime factors to calculate the LCM of 7734 and 7741.

LCM(7734,7741) = 21×31×12891×77411
LCM(7734,7741) = 59868894

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 7741

List of positive integer factors of 7741 that divides 7741 without a remainder.

1, 7741

Least Common Multiple of 7734 and 7741 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 7741, than apply into the LCM equation.

GCF(7734,7741) = 1
LCM(7734,7741) = ( 7734 × 7741) / 1
LCM(7734,7741) = 59868894 / 1
LCM(7734,7741) = 59868894

Properties of LCM 7734 and 7741

(i) The LCM of 7741 and 7734 is associative

LCM of 7734 and 7741 = LCM of 7741 and 7734

Related Least Common Multiples of 7734

Related Least Common Multiples of 7741

Frequently Asked Questions on LCM of 7734 and 7741

1. What is the LCM of 7734 and 7741?

Answer: LCM of 7734 and 7741 is 59868894.

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 7741?

Answer: Factors of 7741 are 1, 7741. There are 2 integers that are factors of 7741. The greatest factor of 7741 is 7741.

4. How to Find the LCM of 7734 and 7741?

Answer:

Least Common Multiple of 7734 and 7741 = 59868894

Step 1: Find the prime factorization of 7734

7734 = 2 x 3 x 1289

Step 2: Find the prime factorization of 7741

7741 = 7741

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

LCM = 59868894 = 2 x 3 x 1289 x 7741

Step 4: Therefore, the least common multiple of 7734 and 7741 is 59868894.