Least Common Multiple of 7560 and 7566

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 7566 the smallest integer that is 9533160 that is divisible by both numbers.

Least Common Multiple (LCM) of 7560 and 7566 is 9533160.

LCM(7560,7566) = 9533160

LCM of 7560 and 7566

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

LCM of:
and

Least Common Multiple of 7560 and 7566

LCM of 7560 and 7566 is 9533160

Least common multiple can be found by multiplying the highest exponent prime factors of 7560 and 7566. First we will calculate the prime factors of 7560 and 7566.

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 7566


2 7566
3 3783
13 1261
97 97
1

Prime factors of 7566 are 2, 3, 13,97. Prime factorization of 7566 in exponential form is:

7566 = 21×31×131×971

Now multiplying the highest exponent prime factors to calculate the LCM of 7560 and 7566.

LCM(7560,7566) = 23×33×51×71×131×971
LCM(7560,7566) = 9533160

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 7566

List of positive integer factors of 7566 that divides 7566 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 97, 194, 291, 582, 1261, 2522, 3783, 7566

Least Common Multiple of 7560 and 7566 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 7566, than apply into the LCM equation.

GCF(7560,7566) = 6
LCM(7560,7566) = ( 7560 × 7566) / 6
LCM(7560,7566) = 57198960 / 6
LCM(7560,7566) = 9533160

Properties of LCM 7560 and 7566

(i) The LCM of 7566 and 7560 is associative

LCM of 7560 and 7566 = LCM of 7566 and 7560

Related Least Common Multiples of 7560

Related Least Common Multiples of 7566

Frequently Asked Questions on LCM of 7560 and 7566

1. What is the LCM of 7560 and 7566?

Answer: LCM of 7560 and 7566 is 9533160.

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 7566?

Answer: Factors of 7566 are 1, 2, 3, 6, 13, 26, 39, 78, 97, 194, 291, 582, 1261, 2522, 3783, 7566. There are 16 integers that are factors of 7566. The greatest factor of 7566 is 7566.

4. How to Find the LCM of 7560 and 7566?

Answer:

Least Common Multiple of 7560 and 7566 = 9533160

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 7566

7566 = 2 x 3 x 13 x 97

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

LCM = 9533160 = 2 x 2 x 2 x 3 x 3 x 3 x 5 x 7 x 13 x 97

Step 4: Therefore, the least common multiple of 7560 and 7566 is 9533160.