Least Common Multiple of 7734 and 7737

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 7737 the smallest integer that is 19945986 that is divisible by both numbers.

Least Common Multiple (LCM) of 7734 and 7737 is 19945986.

LCM(7734,7737) = 19945986

LCM of 7734 and 7737

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

LCM of:
and

Least Common Multiple of 7734 and 7737

LCM of 7734 and 7737 is 19945986

Least common multiple can be found by multiplying the highest exponent prime factors of 7734 and 7737. First we will calculate the prime factors of 7734 and 7737.

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 7737


3 7737
2579 2579
1

Prime factors of 7737 are 3,2579. Prime factorization of 7737 in exponential form is:

7737 = 31×25791

Now multiplying the highest exponent prime factors to calculate the LCM of 7734 and 7737.

LCM(7734,7737) = 21×31×12891×25791
LCM(7734,7737) = 19945986

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 7737

List of positive integer factors of 7737 that divides 7737 without a remainder.

1, 3, 2579, 7737

Least Common Multiple of 7734 and 7737 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 7737, than apply into the LCM equation.

GCF(7734,7737) = 3
LCM(7734,7737) = ( 7734 × 7737) / 3
LCM(7734,7737) = 59837958 / 3
LCM(7734,7737) = 19945986

Properties of LCM 7734 and 7737

(i) The LCM of 7737 and 7734 is associative

LCM of 7734 and 7737 = LCM of 7737 and 7734

Related Least Common Multiples of 7734

Related Least Common Multiples of 7737

Frequently Asked Questions on LCM of 7734 and 7737

1. What is the LCM of 7734 and 7737?

Answer: LCM of 7734 and 7737 is 19945986.

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 7737?

Answer: Factors of 7737 are 1, 3, 2579, 7737. There are 4 integers that are factors of 7737. The greatest factor of 7737 is 7737.

4. How to Find the LCM of 7734 and 7737?

Answer:

Least Common Multiple of 7734 and 7737 = 19945986

Step 1: Find the prime factorization of 7734

7734 = 2 x 3 x 1289

Step 2: Find the prime factorization of 7737

7737 = 3 x 2579

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

LCM = 19945986 = 2 x 3 x 1289 x 2579

Step 4: Therefore, the least common multiple of 7734 and 7737 is 19945986.