Least Common Multiple of 7715 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 7715 and 7720 the smallest integer that is 11911960 that is divisible by both numbers.

Least Common Multiple (LCM) of 7715 and 7720 is 11911960.

LCM(7715,7720) = 11911960

LCM of 7715 and 7720

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

LCM of:
and

Least Common Multiple of 7715 and 7720

LCM of 7715 and 7720 is 11911960

Least common multiple can be found by multiplying the highest exponent prime factors of 7715 and 7720. First we will calculate the prime factors of 7715 and 7720.

Prime Factorization of 7715


5 7715
1543 1543
1

Prime factors of 7715 are 5,1543. Prime factorization of 7715 in exponential form is:

7715 = 51×15431

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 7715 and 7720.

LCM(7715,7720) = 23×51×1931×15431
LCM(7715,7720) = 11911960

Factors of 7715

List of positive integer factors of 7715 that divides 7715 without a remainder.

1, 5, 1543, 7715

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 7715 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 7715 and 7720, than apply into the LCM equation.

GCF(7715,7720) = 5
LCM(7715,7720) = ( 7715 × 7720) / 5
LCM(7715,7720) = 59559800 / 5
LCM(7715,7720) = 11911960

Properties of LCM 7715 and 7720

(i) The LCM of 7720 and 7715 is associative

LCM of 7715 and 7720 = LCM of 7720 and 7715

Related Least Common Multiples of 7715

Related Least Common Multiples of 7720

Frequently Asked Questions on LCM of 7715 and 7720

1. What is the LCM of 7715 and 7720?

Answer: LCM of 7715 and 7720 is 11911960.

2. What are the Factors of 7715?

Answer: Factors of 7715 are 1, 5, 1543, 7715. There are 4 integers that are factors of 7715. The greatest factor of 7715 is 7715.

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 7715 and 7720?

Answer:

Least Common Multiple of 7715 and 7720 = 11911960

Step 1: Find the prime factorization of 7715

7715 = 5 x 1543

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 = 11911960 = 2 x 2 x 2 x 5 x 193 x 1543

Step 4: Therefore, the least common multiple of 7715 and 7720 is 11911960.