Least Common Multiple of 7700 and 7705

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7700 and 7705 the smallest integer that is 11865700 that is divisible by both numbers.

Least Common Multiple (LCM) of 7700 and 7705 is 11865700.

LCM(7700,7705) = 11865700

LCM of 7700 and 7705

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

LCM of:
and

Least Common Multiple of 7700 and 7705

LCM of 7700 and 7705 is 11865700

Least common multiple can be found by multiplying the highest exponent prime factors of 7700 and 7705. First we will calculate the prime factors of 7700 and 7705.

Prime Factorization of 7700


2 7700
2 3850
5 1925
5 385
7 77
11 11
1

Prime factors of 7700 are 2, 5, 7,11. Prime factorization of 7700 in exponential form is:

7700 = 22×52×71×111

Prime Factorization of 7705


5 7705
23 1541
67 67
1

Prime factors of 7705 are 5, 23,67. Prime factorization of 7705 in exponential form is:

7705 = 51×231×671

Now multiplying the highest exponent prime factors to calculate the LCM of 7700 and 7705.

LCM(7700,7705) = 22×52×71×111×231×671
LCM(7700,7705) = 11865700

Factors of 7700

List of positive integer factors of 7700 that divides 7700 without a remainder.

1, 2, 4, 5, 7, 10, 11, 14, 20, 22, 25, 28, 35, 44, 50, 55, 70, 77, 100, 110, 140, 154, 175, 220, 275, 308, 350, 385, 550, 700, 770, 1100, 1540, 1925, 3850, 7700

Factors of 7705

List of positive integer factors of 7705 that divides 7705 without a remainder.

1, 5, 23, 67, 115, 335, 1541, 7705

Least Common Multiple of 7700 and 7705 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7700 and 7705, than apply into the LCM equation.

GCF(7700,7705) = 5
LCM(7700,7705) = ( 7700 × 7705) / 5
LCM(7700,7705) = 59328500 / 5
LCM(7700,7705) = 11865700

Properties of LCM 7700 and 7705

(i) The LCM of 7705 and 7700 is associative

LCM of 7700 and 7705 = LCM of 7705 and 7700

Related Least Common Multiples of 7700

Related Least Common Multiples of 7705

Frequently Asked Questions on LCM of 7700 and 7705

1. What is the LCM of 7700 and 7705?

Answer: LCM of 7700 and 7705 is 11865700.

2. What are the Factors of 7700?

Answer: Factors of 7700 are 1, 2, 4, 5, 7, 10, 11, 14, 20, 22, 25, 28, 35, 44, 50, 55, 70, 77, 100, 110, 140, 154, 175, 220, 275, 308, 350, 385, 550, 700, 770, 1100, 1540, 1925, 3850, 7700. There are 36 integers that are factors of 7700. The greatest factor of 7700 is 7700.

3. What are the Factors of 7705?

Answer: Factors of 7705 are 1, 5, 23, 67, 115, 335, 1541, 7705. There are 8 integers that are factors of 7705. The greatest factor of 7705 is 7705.

4. How to Find the LCM of 7700 and 7705?

Answer:

Least Common Multiple of 7700 and 7705 = 11865700

Step 1: Find the prime factorization of 7700

7700 = 2 x 2 x 5 x 5 x 7 x 11

Step 2: Find the prime factorization of 7705

7705 = 5 x 23 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 = 11865700 = 2 x 2 x 5 x 5 x 7 x 11 x 23 x 67

Step 4: Therefore, the least common multiple of 7700 and 7705 is 11865700.