Least Common Multiple of 7714 and 7720

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7714 and 7720 the smallest integer that is 29776040 that is divisible by both numbers.

Least Common Multiple (LCM) of 7714 and 7720 is 29776040.

LCM(7714,7720) = 29776040

LCM of 7714 and 7720

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

LCM of:
and

Least Common Multiple of 7714 and 7720

LCM of 7714 and 7720 is 29776040

Least common multiple can be found by multiplying the highest exponent prime factors of 7714 and 7720. First we will calculate the prime factors of 7714 and 7720.

Prime Factorization of 7714


2 7714
7 3857
19 551
29 29
1

Prime factors of 7714 are 2, 7, 19,29. Prime factorization of 7714 in exponential form is:

7714 = 21×71×191×291

Prime Factorization of 7720


2 7720
2 3860
2 1930
5 965
193 193
1

Prime factors of 7720 are 2, 5,193. Prime factorization of 7720 in exponential form is:

7720 = 23×51×1931

Now multiplying the highest exponent prime factors to calculate the LCM of 7714 and 7720.

LCM(7714,7720) = 23×51×71×191×291×1931
LCM(7714,7720) = 29776040

Factors of 7714

List of positive integer factors of 7714 that divides 7714 without a remainder.

1, 2, 7, 14, 19, 29, 38, 58, 133, 203, 266, 406, 551, 1102, 3857, 7714

Factors of 7720

List of positive integer factors of 7720 that divides 7720 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 193, 386, 772, 965, 1544, 1930, 3860, 7720

Least Common Multiple of 7714 and 7720 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7714 and 7720, than apply into the LCM equation.

GCF(7714,7720) = 2
LCM(7714,7720) = ( 7714 × 7720) / 2
LCM(7714,7720) = 59552080 / 2
LCM(7714,7720) = 29776040

Properties of LCM 7714 and 7720

(i) The LCM of 7720 and 7714 is associative

LCM of 7714 and 7720 = LCM of 7720 and 7714

Related Least Common Multiples of 7714

Related Least Common Multiples of 7720

Frequently Asked Questions on LCM of 7714 and 7720

1. What is the LCM of 7714 and 7720?

Answer: LCM of 7714 and 7720 is 29776040.

2. What are the Factors of 7714?

Answer: Factors of 7714 are 1, 2, 7, 14, 19, 29, 38, 58, 133, 203, 266, 406, 551, 1102, 3857, 7714. There are 16 integers that are factors of 7714. The greatest factor of 7714 is 7714.

3. What are the Factors of 7720?

Answer: Factors of 7720 are 1, 2, 4, 5, 8, 10, 20, 40, 193, 386, 772, 965, 1544, 1930, 3860, 7720. There are 16 integers that are factors of 7720. The greatest factor of 7720 is 7720.

4. How to Find the LCM of 7714 and 7720?

Answer:

Least Common Multiple of 7714 and 7720 = 29776040

Step 1: Find the prime factorization of 7714

7714 = 2 x 7 x 19 x 29

Step 2: Find the prime factorization of 7720

7720 = 2 x 2 x 2 x 5 x 193

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

LCM = 29776040 = 2 x 2 x 2 x 5 x 7 x 19 x 29 x 193

Step 4: Therefore, the least common multiple of 7714 and 7720 is 29776040.