Least Common Multiple of 7737 and 7743

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7737 and 7743 the smallest integer that is 19969197 that is divisible by both numbers.

Least Common Multiple (LCM) of 7737 and 7743 is 19969197.

LCM(7737,7743) = 19969197

LCM of 7737 and 7743

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

LCM of:
and

Least Common Multiple of 7737 and 7743

LCM of 7737 and 7743 is 19969197

Least common multiple can be found by multiplying the highest exponent prime factors of 7737 and 7743. First we will calculate the prime factors of 7737 and 7743.

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

Prime Factorization of 7743


3 7743
29 2581
89 89
1

Prime factors of 7743 are 3, 29,89. Prime factorization of 7743 in exponential form is:

7743 = 31×291×891

Now multiplying the highest exponent prime factors to calculate the LCM of 7737 and 7743.

LCM(7737,7743) = 31×291×891×25791
LCM(7737,7743) = 19969197

Factors of 7737

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

1, 3, 2579, 7737

Factors of 7743

List of positive integer factors of 7743 that divides 7743 without a remainder.

1, 3, 29, 87, 89, 267, 2581, 7743

Least Common Multiple of 7737 and 7743 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7737 and 7743, than apply into the LCM equation.

GCF(7737,7743) = 3
LCM(7737,7743) = ( 7737 × 7743) / 3
LCM(7737,7743) = 59907591 / 3
LCM(7737,7743) = 19969197

Properties of LCM 7737 and 7743

(i) The LCM of 7743 and 7737 is associative

LCM of 7737 and 7743 = LCM of 7743 and 7737

Related Least Common Multiples of 7737

Related Least Common Multiples of 7743

Frequently Asked Questions on LCM of 7737 and 7743

1. What is the LCM of 7737 and 7743?

Answer: LCM of 7737 and 7743 is 19969197.

2. 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.

3. What are the Factors of 7743?

Answer: Factors of 7743 are 1, 3, 29, 87, 89, 267, 2581, 7743. There are 8 integers that are factors of 7743. The greatest factor of 7743 is 7743.

4. How to Find the LCM of 7737 and 7743?

Answer:

Least Common Multiple of 7737 and 7743 = 19969197

Step 1: Find the prime factorization of 7737

7737 = 3 x 2579

Step 2: Find the prime factorization of 7743

7743 = 3 x 29 x 89

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

LCM = 19969197 = 3 x 29 x 89 x 2579

Step 4: Therefore, the least common multiple of 7737 and 7743 is 19969197.