Least Common Multiple of 7560 and 7565

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7560 and 7565 the smallest integer that is 11438280 that is divisible by both numbers.

Least Common Multiple (LCM) of 7560 and 7565 is 11438280.

LCM(7560,7565) = 11438280

LCM of 7560 and 7565

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

LCM of:
and

Least Common Multiple of 7560 and 7565

LCM of 7560 and 7565 is 11438280

Least common multiple can be found by multiplying the highest exponent prime factors of 7560 and 7565. First we will calculate the prime factors of 7560 and 7565.

Prime Factorization of 7560


2 7560
2 3780
2 1890
3 945
3 315
3 105
5 35
7 7
1

Prime factors of 7560 are 2, 3, 5,7. Prime factorization of 7560 in exponential form is:

7560 = 23×33×51×71

Prime Factorization of 7565


5 7565
17 1513
89 89
1

Prime factors of 7565 are 5, 17,89. Prime factorization of 7565 in exponential form is:

7565 = 51×171×891

Now multiplying the highest exponent prime factors to calculate the LCM of 7560 and 7565.

LCM(7560,7565) = 23×33×51×71×171×891
LCM(7560,7565) = 11438280

Factors of 7560

List of positive integer factors of 7560 that divides 7560 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 18, 20, 21, 24, 27, 28, 30, 35, 36, 40, 42, 45, 54, 56, 60, 63, 70, 72, 84, 90, 105, 108, 120, 126, 135, 140, 168, 180, 189, 210, 216, 252, 270, 280, 315, 360, 378, 420, 504, 540, 630, 756, 840, 945, 1080, 1260, 1512, 1890, 2520, 3780, 7560

Factors of 7565

List of positive integer factors of 7565 that divides 7565 without a remainder.

1, 5, 17, 85, 89, 445, 1513, 7565

Least Common Multiple of 7560 and 7565 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7560 and 7565, than apply into the LCM equation.

GCF(7560,7565) = 5
LCM(7560,7565) = ( 7560 × 7565) / 5
LCM(7560,7565) = 57191400 / 5
LCM(7560,7565) = 11438280

Properties of LCM 7560 and 7565

(i) The LCM of 7565 and 7560 is associative

LCM of 7560 and 7565 = LCM of 7565 and 7560

Related Least Common Multiples of 7560

Related Least Common Multiples of 7565

Frequently Asked Questions on LCM of 7560 and 7565

1. What is the LCM of 7560 and 7565?

Answer: LCM of 7560 and 7565 is 11438280.

2. What are the Factors of 7560?

Answer: Factors of 7560 are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 18, 20, 21, 24, 27, 28, 30, 35, 36, 40, 42, 45, 54, 56, 60, 63, 70, 72, 84, 90, 105, 108, 120, 126, 135, 140, 168, 180, 189, 210, 216, 252, 270, 280, 315, 360, 378, 420, 504, 540, 630, 756, 840, 945, 1080, 1260, 1512, 1890, 2520, 3780, 7560. There are 64 integers that are factors of 7560. The greatest factor of 7560 is 7560.

3. What are the Factors of 7565?

Answer: Factors of 7565 are 1, 5, 17, 85, 89, 445, 1513, 7565. There are 8 integers that are factors of 7565. The greatest factor of 7565 is 7565.

4. How to Find the LCM of 7560 and 7565?

Answer:

Least Common Multiple of 7560 and 7565 = 11438280

Step 1: Find the prime factorization of 7560

7560 = 2 x 2 x 2 x 3 x 3 x 3 x 5 x 7

Step 2: Find the prime factorization of 7565

7565 = 5 x 17 x 89

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

LCM = 11438280 = 2 x 2 x 2 x 3 x 3 x 3 x 5 x 7 x 17 x 89

Step 4: Therefore, the least common multiple of 7560 and 7565 is 11438280.