Least Common Multiple of 7764 and 7769

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7764 and 7769 the smallest integer that is 60318516 that is divisible by both numbers.

Least Common Multiple (LCM) of 7764 and 7769 is 60318516.

LCM(7764,7769) = 60318516

LCM of 7764 and 7769

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

LCM of:
and

Least Common Multiple of 7764 and 7769

LCM of 7764 and 7769 is 60318516

Least common multiple can be found by multiplying the highest exponent prime factors of 7764 and 7769. First we will calculate the prime factors of 7764 and 7769.

Prime Factorization of 7764


2 7764
2 3882
3 1941
647 647
1

Prime factors of 7764 are 2, 3,647. Prime factorization of 7764 in exponential form is:

7764 = 22×31×6471

Prime Factorization of 7769


17 7769
457 457
1

Prime factors of 7769 are 17,457. Prime factorization of 7769 in exponential form is:

7769 = 171×4571

Now multiplying the highest exponent prime factors to calculate the LCM of 7764 and 7769.

LCM(7764,7769) = 22×31×171×4571×6471
LCM(7764,7769) = 60318516

Factors of 7764

List of positive integer factors of 7764 that divides 7764 without a remainder.

1, 2, 3, 4, 6, 12, 647, 1294, 1941, 2588, 3882, 7764

Factors of 7769

List of positive integer factors of 7769 that divides 7769 without a remainder.

1, 17, 457, 7769

Least Common Multiple of 7764 and 7769 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7764 and 7769, than apply into the LCM equation.

GCF(7764,7769) = 1
LCM(7764,7769) = ( 7764 × 7769) / 1
LCM(7764,7769) = 60318516 / 1
LCM(7764,7769) = 60318516

Properties of LCM 7764 and 7769

(i) The LCM of 7769 and 7764 is associative

LCM of 7764 and 7769 = LCM of 7769 and 7764

Related Least Common Multiples of 7764

Related Least Common Multiples of 7769

Frequently Asked Questions on LCM of 7764 and 7769

1. What is the LCM of 7764 and 7769?

Answer: LCM of 7764 and 7769 is 60318516.

2. What are the Factors of 7764?

Answer: Factors of 7764 are 1, 2, 3, 4, 6, 12, 647, 1294, 1941, 2588, 3882, 7764. There are 12 integers that are factors of 7764. The greatest factor of 7764 is 7764.

3. What are the Factors of 7769?

Answer: Factors of 7769 are 1, 17, 457, 7769. There are 4 integers that are factors of 7769. The greatest factor of 7769 is 7769.

4. How to Find the LCM of 7764 and 7769?

Answer:

Least Common Multiple of 7764 and 7769 = 60318516

Step 1: Find the prime factorization of 7764

7764 = 2 x 2 x 3 x 647

Step 2: Find the prime factorization of 7769

7769 = 17 x 457

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

LCM = 60318516 = 2 x 2 x 3 x 17 x 457 x 647

Step 4: Therefore, the least common multiple of 7764 and 7769 is 60318516.