Least Common Multiple of 7740 and 7745

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7740 and 7745 the smallest integer that is 11989260 that is divisible by both numbers.

Least Common Multiple (LCM) of 7740 and 7745 is 11989260.

LCM(7740,7745) = 11989260

LCM of 7740 and 7745

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

LCM of:
and

Least Common Multiple of 7740 and 7745

LCM of 7740 and 7745 is 11989260

Least common multiple can be found by multiplying the highest exponent prime factors of 7740 and 7745. First we will calculate the prime factors of 7740 and 7745.

Prime Factorization of 7740


2 7740
2 3870
3 1935
3 645
5 215
43 43
1

Prime factors of 7740 are 2, 3, 5,43. Prime factorization of 7740 in exponential form is:

7740 = 22×32×51×431

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7740 and 7745.

LCM(7740,7745) = 22×32×51×431×15491
LCM(7740,7745) = 11989260

Factors of 7740

List of positive integer factors of 7740 that divides 7740 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 43, 45, 60, 86, 90, 129, 172, 180, 215, 258, 387, 430, 516, 645, 774, 860, 1290, 1548, 1935, 2580, 3870, 7740

Factors of 7745

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

1, 5, 1549, 7745

Least Common Multiple of 7740 and 7745 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7740 and 7745, than apply into the LCM equation.

GCF(7740,7745) = 5
LCM(7740,7745) = ( 7740 × 7745) / 5
LCM(7740,7745) = 59946300 / 5
LCM(7740,7745) = 11989260

Properties of LCM 7740 and 7745

(i) The LCM of 7745 and 7740 is associative

LCM of 7740 and 7745 = LCM of 7745 and 7740

Related Least Common Multiples of 7740

Related Least Common Multiples of 7745

Frequently Asked Questions on LCM of 7740 and 7745

1. What is the LCM of 7740 and 7745?

Answer: LCM of 7740 and 7745 is 11989260.

2. What are the Factors of 7740?

Answer: Factors of 7740 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 43, 45, 60, 86, 90, 129, 172, 180, 215, 258, 387, 430, 516, 645, 774, 860, 1290, 1548, 1935, 2580, 3870, 7740. There are 36 integers that are factors of 7740. The greatest factor of 7740 is 7740.

3. 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.

4. How to Find the LCM of 7740 and 7745?

Answer:

Least Common Multiple of 7740 and 7745 = 11989260

Step 1: Find the prime factorization of 7740

7740 = 2 x 2 x 3 x 3 x 5 x 43

Step 2: Find the prime factorization of 7745

7745 = 5 x 1549

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

LCM = 11989260 = 2 x 2 x 3 x 3 x 5 x 43 x 1549

Step 4: Therefore, the least common multiple of 7740 and 7745 is 11989260.