Least Common Multiple of 7765 and 7770

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7765 and 7770 the smallest integer that is 12066810 that is divisible by both numbers.

Least Common Multiple (LCM) of 7765 and 7770 is 12066810.

LCM(7765,7770) = 12066810

LCM of 7765 and 7770

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

LCM of:
and

Least Common Multiple of 7765 and 7770

LCM of 7765 and 7770 is 12066810

Least common multiple can be found by multiplying the highest exponent prime factors of 7765 and 7770. First we will calculate the prime factors of 7765 and 7770.

Prime Factorization of 7765


5 7765
1553 1553
1

Prime factors of 7765 are 5,1553. Prime factorization of 7765 in exponential form is:

7765 = 51×15531

Prime Factorization of 7770


2 7770
3 3885
5 1295
7 259
37 37
1

Prime factors of 7770 are 2, 3, 5, 7,37. Prime factorization of 7770 in exponential form is:

7770 = 21×31×51×71×371

Now multiplying the highest exponent prime factors to calculate the LCM of 7765 and 7770.

LCM(7765,7770) = 21×31×51×71×371×15531
LCM(7765,7770) = 12066810

Factors of 7765

List of positive integer factors of 7765 that divides 7765 without a remainder.

1, 5, 1553, 7765

Factors of 7770

List of positive integer factors of 7770 that divides 7770 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 37, 42, 70, 74, 105, 111, 185, 210, 222, 259, 370, 518, 555, 777, 1110, 1295, 1554, 2590, 3885, 7770

Least Common Multiple of 7765 and 7770 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7765 and 7770, than apply into the LCM equation.

GCF(7765,7770) = 5
LCM(7765,7770) = ( 7765 × 7770) / 5
LCM(7765,7770) = 60334050 / 5
LCM(7765,7770) = 12066810

Properties of LCM 7765 and 7770

(i) The LCM of 7770 and 7765 is associative

LCM of 7765 and 7770 = LCM of 7770 and 7765

Related Least Common Multiples of 7765

Related Least Common Multiples of 7770

Frequently Asked Questions on LCM of 7765 and 7770

1. What is the LCM of 7765 and 7770?

Answer: LCM of 7765 and 7770 is 12066810.

2. What are the Factors of 7765?

Answer: Factors of 7765 are 1, 5, 1553, 7765. There are 4 integers that are factors of 7765. The greatest factor of 7765 is 7765.

3. What are the Factors of 7770?

Answer: Factors of 7770 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 37, 42, 70, 74, 105, 111, 185, 210, 222, 259, 370, 518, 555, 777, 1110, 1295, 1554, 2590, 3885, 7770. There are 32 integers that are factors of 7770. The greatest factor of 7770 is 7770.

4. How to Find the LCM of 7765 and 7770?

Answer:

Least Common Multiple of 7765 and 7770 = 12066810

Step 1: Find the prime factorization of 7765

7765 = 5 x 1553

Step 2: Find the prime factorization of 7770

7770 = 2 x 3 x 5 x 7 x 37

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

LCM = 12066810 = 2 x 3 x 5 x 7 x 37 x 1553

Step 4: Therefore, the least common multiple of 7765 and 7770 is 12066810.