Least Common Multiple of 7741 and 7748

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7741 and 7748 the smallest integer that is 59977268 that is divisible by both numbers.

Least Common Multiple (LCM) of 7741 and 7748 is 59977268.

LCM(7741,7748) = 59977268

LCM of 7741 and 7748

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

LCM of:
and

Least Common Multiple of 7741 and 7748

LCM of 7741 and 7748 is 59977268

Least common multiple can be found by multiplying the highest exponent prime factors of 7741 and 7748. First we will calculate the prime factors of 7741 and 7748.

Prime Factorization of 7741


7741 7741
1

Prime factors of 7741 are 7741. Prime factorization of 7741 in exponential form is:

7741 = 77411

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7741 and 7748.

LCM(7741,7748) = 22×131×1491×77411
LCM(7741,7748) = 59977268

Factors of 7741

List of positive integer factors of 7741 that divides 7741 without a remainder.

1, 7741

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

Least Common Multiple of 7741 and 7748 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7741 and 7748, than apply into the LCM equation.

GCF(7741,7748) = 1
LCM(7741,7748) = ( 7741 × 7748) / 1
LCM(7741,7748) = 59977268 / 1
LCM(7741,7748) = 59977268

Properties of LCM 7741 and 7748

(i) The LCM of 7748 and 7741 is associative

LCM of 7741 and 7748 = LCM of 7748 and 7741

Related Least Common Multiples of 7741

Related Least Common Multiples of 7748

Frequently Asked Questions on LCM of 7741 and 7748

1. What is the LCM of 7741 and 7748?

Answer: LCM of 7741 and 7748 is 59977268.

2. What are the Factors of 7741?

Answer: Factors of 7741 are 1, 7741. There are 2 integers that are factors of 7741. The greatest factor of 7741 is 7741.

3. 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.

4. How to Find the LCM of 7741 and 7748?

Answer:

Least Common Multiple of 7741 and 7748 = 59977268

Step 1: Find the prime factorization of 7741

7741 = 7741

Step 2: Find the prime factorization of 7748

7748 = 2 x 2 x 13 x 149

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

LCM = 59977268 = 2 x 2 x 13 x 149 x 7741

Step 4: Therefore, the least common multiple of 7741 and 7748 is 59977268.