Least Common Multiple of 7730 and 7734

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7730 and 7734 the smallest integer that is 29891910 that is divisible by both numbers.

Least Common Multiple (LCM) of 7730 and 7734 is 29891910.

LCM(7730,7734) = 29891910

LCM of 7730 and 7734

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

LCM of:
and

Least Common Multiple of 7730 and 7734

LCM of 7730 and 7734 is 29891910

Least common multiple can be found by multiplying the highest exponent prime factors of 7730 and 7734. First we will calculate the prime factors of 7730 and 7734.

Prime Factorization of 7730


2 7730
5 3865
773 773
1

Prime factors of 7730 are 2, 5,773. Prime factorization of 7730 in exponential form is:

7730 = 21×51×7731

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7730 and 7734.

LCM(7730,7734) = 21×31×51×7731×12891
LCM(7730,7734) = 29891910

Factors of 7730

List of positive integer factors of 7730 that divides 7730 without a remainder.

1, 2, 5, 10, 773, 1546, 3865, 7730

Factors of 7734

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

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

Least Common Multiple of 7730 and 7734 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7730 and 7734, than apply into the LCM equation.

GCF(7730,7734) = 2
LCM(7730,7734) = ( 7730 × 7734) / 2
LCM(7730,7734) = 59783820 / 2
LCM(7730,7734) = 29891910

Properties of LCM 7730 and 7734

(i) The LCM of 7734 and 7730 is associative

LCM of 7730 and 7734 = LCM of 7734 and 7730

Related Least Common Multiples of 7730

Related Least Common Multiples of 7734

Frequently Asked Questions on LCM of 7730 and 7734

1. What is the LCM of 7730 and 7734?

Answer: LCM of 7730 and 7734 is 29891910.

2. What are the Factors of 7730?

Answer: Factors of 7730 are 1, 2, 5, 10, 773, 1546, 3865, 7730. There are 8 integers that are factors of 7730. The greatest factor of 7730 is 7730.

3. 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.

4. How to Find the LCM of 7730 and 7734?

Answer:

Least Common Multiple of 7730 and 7734 = 29891910

Step 1: Find the prime factorization of 7730

7730 = 2 x 5 x 773

Step 2: Find the prime factorization of 7734

7734 = 2 x 3 x 1289

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

LCM = 29891910 = 2 x 3 x 5 x 773 x 1289

Step 4: Therefore, the least common multiple of 7730 and 7734 is 29891910.