Least Common Multiple of 7748 and 7756

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7748 and 7756 the smallest integer that is 15023372 that is divisible by both numbers.

Least Common Multiple (LCM) of 7748 and 7756 is 15023372.

LCM(7748,7756) = 15023372

LCM of 7748 and 7756

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

LCM of:
and

Least Common Multiple of 7748 and 7756

LCM of 7748 and 7756 is 15023372

Least common multiple can be found by multiplying the highest exponent prime factors of 7748 and 7756. First we will calculate the prime factors of 7748 and 7756.

Prime Factorization of 7748


2 7748
2 3874
13 1937
149 149
1

Prime factors of 7748 are 2, 13,149. Prime factorization of 7748 in exponential form is:

7748 = 22×131×1491

Prime Factorization of 7756


2 7756
2 3878
7 1939
277 277
1

Prime factors of 7756 are 2, 7,277. Prime factorization of 7756 in exponential form is:

7756 = 22×71×2771

Now multiplying the highest exponent prime factors to calculate the LCM of 7748 and 7756.

LCM(7748,7756) = 22×71×131×1491×2771
LCM(7748,7756) = 15023372

Factors of 7748

List of positive integer factors of 7748 that divides 7748 without a remainder.

1, 2, 4, 13, 26, 52, 149, 298, 596, 1937, 3874, 7748

Factors of 7756

List of positive integer factors of 7756 that divides 7756 without a remainder.

1, 2, 4, 7, 14, 28, 277, 554, 1108, 1939, 3878, 7756

Least Common Multiple of 7748 and 7756 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7748 and 7756, than apply into the LCM equation.

GCF(7748,7756) = 4
LCM(7748,7756) = ( 7748 × 7756) / 4
LCM(7748,7756) = 60093488 / 4
LCM(7748,7756) = 15023372

Properties of LCM 7748 and 7756

(i) The LCM of 7756 and 7748 is associative

LCM of 7748 and 7756 = LCM of 7756 and 7748

Related Least Common Multiples of 7748

Related Least Common Multiples of 7756

Frequently Asked Questions on LCM of 7748 and 7756

1. What is the LCM of 7748 and 7756?

Answer: LCM of 7748 and 7756 is 15023372.

2. What are the Factors of 7748?

Answer: Factors of 7748 are 1, 2, 4, 13, 26, 52, 149, 298, 596, 1937, 3874, 7748. There are 12 integers that are factors of 7748. The greatest factor of 7748 is 7748.

3. What are the Factors of 7756?

Answer: Factors of 7756 are 1, 2, 4, 7, 14, 28, 277, 554, 1108, 1939, 3878, 7756. There are 12 integers that are factors of 7756. The greatest factor of 7756 is 7756.

4. How to Find the LCM of 7748 and 7756?

Answer:

Least Common Multiple of 7748 and 7756 = 15023372

Step 1: Find the prime factorization of 7748

7748 = 2 x 2 x 13 x 149

Step 2: Find the prime factorization of 7756

7756 = 2 x 2 x 7 x 277

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

LCM = 15023372 = 2 x 2 x 7 x 13 x 149 x 277

Step 4: Therefore, the least common multiple of 7748 and 7756 is 15023372.