Least Common Multiple of 7700 and 7703

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 7703 the smallest integer that is 59313100 that is divisible by both numbers.

Least Common Multiple (LCM) of 7700 and 7703 is 59313100.

LCM(7700,7703) = 59313100

LCM of 7700 and 7703

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

LCM of:
and

Least Common Multiple of 7700 and 7703

LCM of 7700 and 7703 is 59313100

Least common multiple can be found by multiplying the highest exponent prime factors of 7700 and 7703. First we will calculate the prime factors of 7700 and 7703.

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 7703


7703 7703
1

Prime factors of 7703 are 7703. Prime factorization of 7703 in exponential form is:

7703 = 77031

Now multiplying the highest exponent prime factors to calculate the LCM of 7700 and 7703.

LCM(7700,7703) = 22×52×71×111×77031
LCM(7700,7703) = 59313100

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 7703

List of positive integer factors of 7703 that divides 7703 without a remainder.

1, 7703

Least Common Multiple of 7700 and 7703 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 7703, than apply into the LCM equation.

GCF(7700,7703) = 1
LCM(7700,7703) = ( 7700 × 7703) / 1
LCM(7700,7703) = 59313100 / 1
LCM(7700,7703) = 59313100

Properties of LCM 7700 and 7703

(i) The LCM of 7703 and 7700 is associative

LCM of 7700 and 7703 = LCM of 7703 and 7700

Related Least Common Multiples of 7700

Related Least Common Multiples of 7703

Frequently Asked Questions on LCM of 7700 and 7703

1. What is the LCM of 7700 and 7703?

Answer: LCM of 7700 and 7703 is 59313100.

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 7703?

Answer: Factors of 7703 are 1, 7703. There are 2 integers that are factors of 7703. The greatest factor of 7703 is 7703.

4. How to Find the LCM of 7700 and 7703?

Answer:

Least Common Multiple of 7700 and 7703 = 59313100

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 7703

7703 = 7703

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

LCM = 59313100 = 2 x 2 x 5 x 5 x 7 x 11 x 7703

Step 4: Therefore, the least common multiple of 7700 and 7703 is 59313100.