Least Common Multiple of 7750 and 7755

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7750 and 7755 the smallest integer that is 12020250 that is divisible by both numbers.

Least Common Multiple (LCM) of 7750 and 7755 is 12020250.

LCM(7750,7755) = 12020250

LCM of 7750 and 7755

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

LCM of:
and

Least Common Multiple of 7750 and 7755

LCM of 7750 and 7755 is 12020250

Least common multiple can be found by multiplying the highest exponent prime factors of 7750 and 7755. First we will calculate the prime factors of 7750 and 7755.

Prime Factorization of 7750


2 7750
5 3875
5 775
5 155
31 31
1

Prime factors of 7750 are 2, 5,31. Prime factorization of 7750 in exponential form is:

7750 = 21×53×311

Prime Factorization of 7755


3 7755
5 2585
11 517
47 47
1

Prime factors of 7755 are 3, 5, 11,47. Prime factorization of 7755 in exponential form is:

7755 = 31×51×111×471

Now multiplying the highest exponent prime factors to calculate the LCM of 7750 and 7755.

LCM(7750,7755) = 21×31×53×111×311×471
LCM(7750,7755) = 12020250

Factors of 7750

List of positive integer factors of 7750 that divides 7750 without a remainder.

1, 2, 5, 10, 25, 31, 50, 62, 125, 155, 250, 310, 775, 1550, 3875, 7750

Factors of 7755

List of positive integer factors of 7755 that divides 7755 without a remainder.

1, 3, 5, 11, 15, 33, 47, 55, 141, 165, 235, 517, 705, 1551, 2585, 7755

Least Common Multiple of 7750 and 7755 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7750 and 7755, than apply into the LCM equation.

GCF(7750,7755) = 5
LCM(7750,7755) = ( 7750 × 7755) / 5
LCM(7750,7755) = 60101250 / 5
LCM(7750,7755) = 12020250

Properties of LCM 7750 and 7755

(i) The LCM of 7755 and 7750 is associative

LCM of 7750 and 7755 = LCM of 7755 and 7750

Related Least Common Multiples of 7750

Related Least Common Multiples of 7755

Frequently Asked Questions on LCM of 7750 and 7755

1. What is the LCM of 7750 and 7755?

Answer: LCM of 7750 and 7755 is 12020250.

2. What are the Factors of 7750?

Answer: Factors of 7750 are 1, 2, 5, 10, 25, 31, 50, 62, 125, 155, 250, 310, 775, 1550, 3875, 7750. There are 16 integers that are factors of 7750. The greatest factor of 7750 is 7750.

3. What are the Factors of 7755?

Answer: Factors of 7755 are 1, 3, 5, 11, 15, 33, 47, 55, 141, 165, 235, 517, 705, 1551, 2585, 7755. There are 16 integers that are factors of 7755. The greatest factor of 7755 is 7755.

4. How to Find the LCM of 7750 and 7755?

Answer:

Least Common Multiple of 7750 and 7755 = 12020250

Step 1: Find the prime factorization of 7750

7750 = 2 x 5 x 5 x 5 x 31

Step 2: Find the prime factorization of 7755

7755 = 3 x 5 x 11 x 47

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

LCM = 12020250 = 2 x 3 x 5 x 5 x 5 x 11 x 31 x 47

Step 4: Therefore, the least common multiple of 7750 and 7755 is 12020250.