Least Common Multiple of 7768 and 7775

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7768 and 7775 the smallest integer that is 60396200 that is divisible by both numbers.

Least Common Multiple (LCM) of 7768 and 7775 is 60396200.

LCM(7768,7775) = 60396200

LCM of 7768 and 7775

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

LCM of:
and

Least Common Multiple of 7768 and 7775

LCM of 7768 and 7775 is 60396200

Least common multiple can be found by multiplying the highest exponent prime factors of 7768 and 7775. First we will calculate the prime factors of 7768 and 7775.

Prime Factorization of 7768


2 7768
2 3884
2 1942
971 971
1

Prime factors of 7768 are 2,971. Prime factorization of 7768 in exponential form is:

7768 = 23×9711

Prime Factorization of 7775


5 7775
5 1555
311 311
1

Prime factors of 7775 are 5,311. Prime factorization of 7775 in exponential form is:

7775 = 52×3111

Now multiplying the highest exponent prime factors to calculate the LCM of 7768 and 7775.

LCM(7768,7775) = 23×52×3111×9711
LCM(7768,7775) = 60396200

Factors of 7768

List of positive integer factors of 7768 that divides 7768 without a remainder.

1, 2, 4, 8, 971, 1942, 3884, 7768

Factors of 7775

List of positive integer factors of 7775 that divides 7775 without a remainder.

1, 5, 25, 311, 1555, 7775

Least Common Multiple of 7768 and 7775 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7768 and 7775, than apply into the LCM equation.

GCF(7768,7775) = 1
LCM(7768,7775) = ( 7768 × 7775) / 1
LCM(7768,7775) = 60396200 / 1
LCM(7768,7775) = 60396200

Properties of LCM 7768 and 7775

(i) The LCM of 7775 and 7768 is associative

LCM of 7768 and 7775 = LCM of 7775 and 7768

Related Least Common Multiples of 7768

Related Least Common Multiples of 7775

Frequently Asked Questions on LCM of 7768 and 7775

1. What is the LCM of 7768 and 7775?

Answer: LCM of 7768 and 7775 is 60396200.

2. What are the Factors of 7768?

Answer: Factors of 7768 are 1, 2, 4, 8, 971, 1942, 3884, 7768. There are 8 integers that are factors of 7768. The greatest factor of 7768 is 7768.

3. What are the Factors of 7775?

Answer: Factors of 7775 are 1, 5, 25, 311, 1555, 7775. There are 6 integers that are factors of 7775. The greatest factor of 7775 is 7775.

4. How to Find the LCM of 7768 and 7775?

Answer:

Least Common Multiple of 7768 and 7775 = 60396200

Step 1: Find the prime factorization of 7768

7768 = 2 x 2 x 2 x 971

Step 2: Find the prime factorization of 7775

7775 = 5 x 5 x 311

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

LCM = 60396200 = 2 x 2 x 2 x 5 x 5 x 311 x 971

Step 4: Therefore, the least common multiple of 7768 and 7775 is 60396200.