Least Common Multiple of 7700 and 7704

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 7704 the smallest integer that is 14830200 that is divisible by both numbers.

Least Common Multiple (LCM) of 7700 and 7704 is 14830200.

LCM(7700,7704) = 14830200

LCM of 7700 and 7704

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

LCM of:
and

Least Common Multiple of 7700 and 7704

LCM of 7700 and 7704 is 14830200

Least common multiple can be found by multiplying the highest exponent prime factors of 7700 and 7704. First we will calculate the prime factors of 7700 and 7704.

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 7704


2 7704
2 3852
2 1926
3 963
3 321
107 107
1

Prime factors of 7704 are 2, 3,107. Prime factorization of 7704 in exponential form is:

7704 = 23×32×1071

Now multiplying the highest exponent prime factors to calculate the LCM of 7700 and 7704.

LCM(7700,7704) = 23×32×52×71×111×1071
LCM(7700,7704) = 14830200

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 7704

List of positive integer factors of 7704 that divides 7704 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 107, 214, 321, 428, 642, 856, 963, 1284, 1926, 2568, 3852, 7704

Least Common Multiple of 7700 and 7704 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 7704, than apply into the LCM equation.

GCF(7700,7704) = 4
LCM(7700,7704) = ( 7700 × 7704) / 4
LCM(7700,7704) = 59320800 / 4
LCM(7700,7704) = 14830200

Properties of LCM 7700 and 7704

(i) The LCM of 7704 and 7700 is associative

LCM of 7700 and 7704 = LCM of 7704 and 7700

Related Least Common Multiples of 7700

Related Least Common Multiples of 7704

Frequently Asked Questions on LCM of 7700 and 7704

1. What is the LCM of 7700 and 7704?

Answer: LCM of 7700 and 7704 is 14830200.

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 7704?

Answer: Factors of 7704 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 107, 214, 321, 428, 642, 856, 963, 1284, 1926, 2568, 3852, 7704. There are 24 integers that are factors of 7704. The greatest factor of 7704 is 7704.

4. How to Find the LCM of 7700 and 7704?

Answer:

Least Common Multiple of 7700 and 7704 = 14830200

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 7704

7704 = 2 x 2 x 2 x 3 x 3 x 107

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

LCM = 14830200 = 2 x 2 x 2 x 3 x 3 x 5 x 5 x 7 x 11 x 107

Step 4: Therefore, the least common multiple of 7700 and 7704 is 14830200.