Least Common Multiple of 7750 and 7757

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 7757 the smallest integer that is 60116750 that is divisible by both numbers.

Least Common Multiple (LCM) of 7750 and 7757 is 60116750.

LCM(7750,7757) = 60116750

LCM of 7750 and 7757

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

LCM of:
and

Least Common Multiple of 7750 and 7757

LCM of 7750 and 7757 is 60116750

Least common multiple can be found by multiplying the highest exponent prime factors of 7750 and 7757. First we will calculate the prime factors of 7750 and 7757.

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 7757


7757 7757
1

Prime factors of 7757 are 7757. Prime factorization of 7757 in exponential form is:

7757 = 77571

Now multiplying the highest exponent prime factors to calculate the LCM of 7750 and 7757.

LCM(7750,7757) = 21×53×311×77571
LCM(7750,7757) = 60116750

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 7757

List of positive integer factors of 7757 that divides 7757 without a remainder.

1, 7757

Least Common Multiple of 7750 and 7757 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 7757, than apply into the LCM equation.

GCF(7750,7757) = 1
LCM(7750,7757) = ( 7750 × 7757) / 1
LCM(7750,7757) = 60116750 / 1
LCM(7750,7757) = 60116750

Properties of LCM 7750 and 7757

(i) The LCM of 7757 and 7750 is associative

LCM of 7750 and 7757 = LCM of 7757 and 7750

Related Least Common Multiples of 7750

Related Least Common Multiples of 7757

Frequently Asked Questions on LCM of 7750 and 7757

1. What is the LCM of 7750 and 7757?

Answer: LCM of 7750 and 7757 is 60116750.

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 7757?

Answer: Factors of 7757 are 1, 7757. There are 2 integers that are factors of 7757. The greatest factor of 7757 is 7757.

4. How to Find the LCM of 7750 and 7757?

Answer:

Least Common Multiple of 7750 and 7757 = 60116750

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 7757

7757 = 7757

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

LCM = 60116750 = 2 x 5 x 5 x 5 x 31 x 7757

Step 4: Therefore, the least common multiple of 7750 and 7757 is 60116750.