Least Common Multiple of 7530 and 7534

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7530 and 7534 the smallest integer that is 28365510 that is divisible by both numbers.

Least Common Multiple (LCM) of 7530 and 7534 is 28365510.

LCM(7530,7534) = 28365510

LCM of 7530 and 7534

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

LCM of:
and

Least Common Multiple of 7530 and 7534

LCM of 7530 and 7534 is 28365510

Least common multiple can be found by multiplying the highest exponent prime factors of 7530 and 7534. First we will calculate the prime factors of 7530 and 7534.

Prime Factorization of 7530


2 7530
3 3765
5 1255
251 251
1

Prime factors of 7530 are 2, 3, 5,251. Prime factorization of 7530 in exponential form is:

7530 = 21×31×51×2511

Prime Factorization of 7534


2 7534
3767 3767
1

Prime factors of 7534 are 2,3767. Prime factorization of 7534 in exponential form is:

7534 = 21×37671

Now multiplying the highest exponent prime factors to calculate the LCM of 7530 and 7534.

LCM(7530,7534) = 21×31×51×2511×37671
LCM(7530,7534) = 28365510

Factors of 7530

List of positive integer factors of 7530 that divides 7530 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 251, 502, 753, 1255, 1506, 2510, 3765, 7530

Factors of 7534

List of positive integer factors of 7534 that divides 7534 without a remainder.

1, 2, 3767, 7534

Least Common Multiple of 7530 and 7534 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7530 and 7534, than apply into the LCM equation.

GCF(7530,7534) = 2
LCM(7530,7534) = ( 7530 × 7534) / 2
LCM(7530,7534) = 56731020 / 2
LCM(7530,7534) = 28365510

Properties of LCM 7530 and 7534

(i) The LCM of 7534 and 7530 is associative

LCM of 7530 and 7534 = LCM of 7534 and 7530

Related Least Common Multiples of 7530

Related Least Common Multiples of 7534

Frequently Asked Questions on LCM of 7530 and 7534

1. What is the LCM of 7530 and 7534?

Answer: LCM of 7530 and 7534 is 28365510.

2. What are the Factors of 7530?

Answer: Factors of 7530 are 1, 2, 3, 5, 6, 10, 15, 30, 251, 502, 753, 1255, 1506, 2510, 3765, 7530. There are 16 integers that are factors of 7530. The greatest factor of 7530 is 7530.

3. What are the Factors of 7534?

Answer: Factors of 7534 are 1, 2, 3767, 7534. There are 4 integers that are factors of 7534. The greatest factor of 7534 is 7534.

4. How to Find the LCM of 7530 and 7534?

Answer:

Least Common Multiple of 7530 and 7534 = 28365510

Step 1: Find the prime factorization of 7530

7530 = 2 x 3 x 5 x 251

Step 2: Find the prime factorization of 7534

7534 = 2 x 3767

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

LCM = 28365510 = 2 x 3 x 5 x 251 x 3767

Step 4: Therefore, the least common multiple of 7530 and 7534 is 28365510.