Least Common Multiple of 7558 and 7560

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7558 and 7560 the smallest integer that is 28569240 that is divisible by both numbers.

Least Common Multiple (LCM) of 7558 and 7560 is 28569240.

LCM(7558,7560) = 28569240

LCM of 7558 and 7560

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

LCM of:
and

Least Common Multiple of 7558 and 7560

LCM of 7558 and 7560 is 28569240

Least common multiple can be found by multiplying the highest exponent prime factors of 7558 and 7560. First we will calculate the prime factors of 7558 and 7560.

Prime Factorization of 7558


2 7558
3779 3779
1

Prime factors of 7558 are 2,3779. Prime factorization of 7558 in exponential form is:

7558 = 21×37791

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7558 and 7560.

LCM(7558,7560) = 23×33×51×71×37791
LCM(7558,7560) = 28569240

Factors of 7558

List of positive integer factors of 7558 that divides 7558 without a remainder.

1, 2, 3779, 7558

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

Least Common Multiple of 7558 and 7560 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7558 and 7560, than apply into the LCM equation.

GCF(7558,7560) = 2
LCM(7558,7560) = ( 7558 × 7560) / 2
LCM(7558,7560) = 57138480 / 2
LCM(7558,7560) = 28569240

Properties of LCM 7558 and 7560

(i) The LCM of 7560 and 7558 is associative

LCM of 7558 and 7560 = LCM of 7560 and 7558

Related Least Common Multiples of 7558

Related Least Common Multiples of 7560

Frequently Asked Questions on LCM of 7558 and 7560

1. What is the LCM of 7558 and 7560?

Answer: LCM of 7558 and 7560 is 28569240.

2. What are the Factors of 7558?

Answer: Factors of 7558 are 1, 2, 3779, 7558. There are 4 integers that are factors of 7558. The greatest factor of 7558 is 7558.

3. 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.

4. How to Find the LCM of 7558 and 7560?

Answer:

Least Common Multiple of 7558 and 7560 = 28569240

Step 1: Find the prime factorization of 7558

7558 = 2 x 3779

Step 2: Find the prime factorization of 7560

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

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

LCM = 28569240 = 2 x 2 x 2 x 3 x 3 x 3 x 5 x 7 x 3779

Step 4: Therefore, the least common multiple of 7558 and 7560 is 28569240.