Least Common Multiple of 7560 and 7567

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 7567 the smallest integer that is 8172360 that is divisible by both numbers.

Least Common Multiple (LCM) of 7560 and 7567 is 8172360.

LCM(7560,7567) = 8172360

LCM of 7560 and 7567

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

LCM of:
and

Least Common Multiple of 7560 and 7567

LCM of 7560 and 7567 is 8172360

Least common multiple can be found by multiplying the highest exponent prime factors of 7560 and 7567. First we will calculate the prime factors of 7560 and 7567.

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 7567


7 7567
23 1081
47 47
1

Prime factors of 7567 are 7, 23,47. Prime factorization of 7567 in exponential form is:

7567 = 71×231×471

Now multiplying the highest exponent prime factors to calculate the LCM of 7560 and 7567.

LCM(7560,7567) = 23×33×51×71×231×471
LCM(7560,7567) = 8172360

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 7567

List of positive integer factors of 7567 that divides 7567 without a remainder.

1, 7, 23, 47, 161, 329, 1081, 7567

Least Common Multiple of 7560 and 7567 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 7567, than apply into the LCM equation.

GCF(7560,7567) = 7
LCM(7560,7567) = ( 7560 × 7567) / 7
LCM(7560,7567) = 57206520 / 7
LCM(7560,7567) = 8172360

Properties of LCM 7560 and 7567

(i) The LCM of 7567 and 7560 is associative

LCM of 7560 and 7567 = LCM of 7567 and 7560

Related Least Common Multiples of 7560

Related Least Common Multiples of 7567

Frequently Asked Questions on LCM of 7560 and 7567

1. What is the LCM of 7560 and 7567?

Answer: LCM of 7560 and 7567 is 8172360.

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 7567?

Answer: Factors of 7567 are 1, 7, 23, 47, 161, 329, 1081, 7567. There are 8 integers that are factors of 7567. The greatest factor of 7567 is 7567.

4. How to Find the LCM of 7560 and 7567?

Answer:

Least Common Multiple of 7560 and 7567 = 8172360

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 7567

7567 = 7 x 23 x 47

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

LCM = 8172360 = 2 x 2 x 2 x 3 x 3 x 3 x 5 x 7 x 23 x 47

Step 4: Therefore, the least common multiple of 7560 and 7567 is 8172360.