Least Common Multiple of 7768 and 7772

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 7772 the smallest integer that is 15093224 that is divisible by both numbers.

Least Common Multiple (LCM) of 7768 and 7772 is 15093224.

LCM(7768,7772) = 15093224

LCM of 7768 and 7772

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

LCM of:
and

Least Common Multiple of 7768 and 7772

LCM of 7768 and 7772 is 15093224

Least common multiple can be found by multiplying the highest exponent prime factors of 7768 and 7772. First we will calculate the prime factors of 7768 and 7772.

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 7772


2 7772
2 3886
29 1943
67 67
1

Prime factors of 7772 are 2, 29,67. Prime factorization of 7772 in exponential form is:

7772 = 22×291×671

Now multiplying the highest exponent prime factors to calculate the LCM of 7768 and 7772.

LCM(7768,7772) = 23×291×671×9711
LCM(7768,7772) = 15093224

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 7772

List of positive integer factors of 7772 that divides 7772 without a remainder.

1, 2, 4, 29, 58, 67, 116, 134, 268, 1943, 3886, 7772

Least Common Multiple of 7768 and 7772 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 7772, than apply into the LCM equation.

GCF(7768,7772) = 4
LCM(7768,7772) = ( 7768 × 7772) / 4
LCM(7768,7772) = 60372896 / 4
LCM(7768,7772) = 15093224

Properties of LCM 7768 and 7772

(i) The LCM of 7772 and 7768 is associative

LCM of 7768 and 7772 = LCM of 7772 and 7768

Related Least Common Multiples of 7768

Related Least Common Multiples of 7772

Frequently Asked Questions on LCM of 7768 and 7772

1. What is the LCM of 7768 and 7772?

Answer: LCM of 7768 and 7772 is 15093224.

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 7772?

Answer: Factors of 7772 are 1, 2, 4, 29, 58, 67, 116, 134, 268, 1943, 3886, 7772. There are 12 integers that are factors of 7772. The greatest factor of 7772 is 7772.

4. How to Find the LCM of 7768 and 7772?

Answer:

Least Common Multiple of 7768 and 7772 = 15093224

Step 1: Find the prime factorization of 7768

7768 = 2 x 2 x 2 x 971

Step 2: Find the prime factorization of 7772

7772 = 2 x 2 x 29 x 67

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

LCM = 15093224 = 2 x 2 x 2 x 29 x 67 x 971

Step 4: Therefore, the least common multiple of 7768 and 7772 is 15093224.