Least Common Multiple of 7745 and 7751

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7745 and 7751 the smallest integer that is 60031495 that is divisible by both numbers.

Least Common Multiple (LCM) of 7745 and 7751 is 60031495.

LCM(7745,7751) = 60031495

LCM of 7745 and 7751

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

LCM of:
and

Least Common Multiple of 7745 and 7751

LCM of 7745 and 7751 is 60031495

Least common multiple can be found by multiplying the highest exponent prime factors of 7745 and 7751. First we will calculate the prime factors of 7745 and 7751.

Prime Factorization of 7745


5 7745
1549 1549
1

Prime factors of 7745 are 5,1549. Prime factorization of 7745 in exponential form is:

7745 = 51×15491

Prime Factorization of 7751


23 7751
337 337
1

Prime factors of 7751 are 23,337. Prime factorization of 7751 in exponential form is:

7751 = 231×3371

Now multiplying the highest exponent prime factors to calculate the LCM of 7745 and 7751.

LCM(7745,7751) = 51×231×3371×15491
LCM(7745,7751) = 60031495

Factors of 7745

List of positive integer factors of 7745 that divides 7745 without a remainder.

1, 5, 1549, 7745

Factors of 7751

List of positive integer factors of 7751 that divides 7751 without a remainder.

1, 23, 337, 7751

Least Common Multiple of 7745 and 7751 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7745 and 7751, than apply into the LCM equation.

GCF(7745,7751) = 1
LCM(7745,7751) = ( 7745 × 7751) / 1
LCM(7745,7751) = 60031495 / 1
LCM(7745,7751) = 60031495

Properties of LCM 7745 and 7751

(i) The LCM of 7751 and 7745 is associative

LCM of 7745 and 7751 = LCM of 7751 and 7745

Related Least Common Multiples of 7745

Related Least Common Multiples of 7751

Frequently Asked Questions on LCM of 7745 and 7751

1. What is the LCM of 7745 and 7751?

Answer: LCM of 7745 and 7751 is 60031495.

2. What are the Factors of 7745?

Answer: Factors of 7745 are 1, 5, 1549, 7745. There are 4 integers that are factors of 7745. The greatest factor of 7745 is 7745.

3. What are the Factors of 7751?

Answer: Factors of 7751 are 1, 23, 337, 7751. There are 4 integers that are factors of 7751. The greatest factor of 7751 is 7751.

4. How to Find the LCM of 7745 and 7751?

Answer:

Least Common Multiple of 7745 and 7751 = 60031495

Step 1: Find the prime factorization of 7745

7745 = 5 x 1549

Step 2: Find the prime factorization of 7751

7751 = 23 x 337

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

LCM = 60031495 = 5 x 23 x 337 x 1549

Step 4: Therefore, the least common multiple of 7745 and 7751 is 60031495.