Least Common Multiple of 7742 and 7749

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7742 and 7749 the smallest integer that is 8570394 that is divisible by both numbers.

Least Common Multiple (LCM) of 7742 and 7749 is 8570394.

LCM(7742,7749) = 8570394

LCM of 7742 and 7749

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

LCM of:
and

Least Common Multiple of 7742 and 7749

LCM of 7742 and 7749 is 8570394

Least common multiple can be found by multiplying the highest exponent prime factors of 7742 and 7749. First we will calculate the prime factors of 7742 and 7749.

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

Prime Factorization of 7749


3 7749
3 2583
3 861
7 287
41 41
1

Prime factors of 7749 are 3, 7,41. Prime factorization of 7749 in exponential form is:

7749 = 33×71×411

Now multiplying the highest exponent prime factors to calculate the LCM of 7742 and 7749.

LCM(7742,7749) = 21×33×72×411×791
LCM(7742,7749) = 8570394

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

Factors of 7749

List of positive integer factors of 7749 that divides 7749 without a remainder.

1, 3, 7, 9, 21, 27, 41, 63, 123, 189, 287, 369, 861, 1107, 2583, 7749

Least Common Multiple of 7742 and 7749 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7742 and 7749, than apply into the LCM equation.

GCF(7742,7749) = 7
LCM(7742,7749) = ( 7742 × 7749) / 7
LCM(7742,7749) = 59992758 / 7
LCM(7742,7749) = 8570394

Properties of LCM 7742 and 7749

(i) The LCM of 7749 and 7742 is associative

LCM of 7742 and 7749 = LCM of 7749 and 7742

Related Least Common Multiples of 7742

Related Least Common Multiples of 7749

Frequently Asked Questions on LCM of 7742 and 7749

1. What is the LCM of 7742 and 7749?

Answer: LCM of 7742 and 7749 is 8570394.

2. 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.

3. What are the Factors of 7749?

Answer: Factors of 7749 are 1, 3, 7, 9, 21, 27, 41, 63, 123, 189, 287, 369, 861, 1107, 2583, 7749. There are 16 integers that are factors of 7749. The greatest factor of 7749 is 7749.

4. How to Find the LCM of 7742 and 7749?

Answer:

Least Common Multiple of 7742 and 7749 = 8570394

Step 1: Find the prime factorization of 7742

7742 = 2 x 7 x 7 x 79

Step 2: Find the prime factorization of 7749

7749 = 3 x 3 x 3 x 7 x 41

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

LCM = 8570394 = 2 x 3 x 3 x 3 x 7 x 7 x 41 x 79

Step 4: Therefore, the least common multiple of 7742 and 7749 is 8570394.