Least Common Multiple of 7737 and 7742

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 7742 the smallest integer that is 59899854 that is divisible by both numbers.

Least Common Multiple (LCM) of 7737 and 7742 is 59899854.

LCM(7737,7742) = 59899854

LCM of 7737 and 7742

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

LCM of:
and

Least Common Multiple of 7737 and 7742

LCM of 7737 and 7742 is 59899854

Least common multiple can be found by multiplying the highest exponent prime factors of 7737 and 7742. First we will calculate the prime factors of 7737 and 7742.

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 7742


2 7742
7 3871
7 553
79 79
1

Prime factors of 7742 are 2, 7,79. Prime factorization of 7742 in exponential form is:

7742 = 21×72×791

Now multiplying the highest exponent prime factors to calculate the LCM of 7737 and 7742.

LCM(7737,7742) = 21×31×72×791×25791
LCM(7737,7742) = 59899854

Factors of 7737

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

1, 3, 2579, 7737

Factors of 7742

List of positive integer factors of 7742 that divides 7742 without a remainder.

1, 2, 7, 14, 49, 79, 98, 158, 553, 1106, 3871, 7742

Least Common Multiple of 7737 and 7742 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 7742, than apply into the LCM equation.

GCF(7737,7742) = 1
LCM(7737,7742) = ( 7737 × 7742) / 1
LCM(7737,7742) = 59899854 / 1
LCM(7737,7742) = 59899854

Properties of LCM 7737 and 7742

(i) The LCM of 7742 and 7737 is associative

LCM of 7737 and 7742 = LCM of 7742 and 7737

Related Least Common Multiples of 7737

Related Least Common Multiples of 7742

Frequently Asked Questions on LCM of 7737 and 7742

1. What is the LCM of 7737 and 7742?

Answer: LCM of 7737 and 7742 is 59899854.

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 7742?

Answer: Factors of 7742 are 1, 2, 7, 14, 49, 79, 98, 158, 553, 1106, 3871, 7742. There are 12 integers that are factors of 7742. The greatest factor of 7742 is 7742.

4. How to Find the LCM of 7737 and 7742?

Answer:

Least Common Multiple of 7737 and 7742 = 59899854

Step 1: Find the prime factorization of 7737

7737 = 3 x 2579

Step 2: Find the prime factorization of 7742

7742 = 2 x 7 x 7 x 79

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

LCM = 59899854 = 2 x 3 x 7 x 7 x 79 x 2579

Step 4: Therefore, the least common multiple of 7737 and 7742 is 59899854.