Least Common Multiple of 7510 and 7514

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7510 and 7514 the smallest integer that is 28215070 that is divisible by both numbers.

Least Common Multiple (LCM) of 7510 and 7514 is 28215070.

LCM(7510,7514) = 28215070

LCM of 7510 and 7514

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

LCM of:
and

Least Common Multiple of 7510 and 7514

LCM of 7510 and 7514 is 28215070

Least common multiple can be found by multiplying the highest exponent prime factors of 7510 and 7514. First we will calculate the prime factors of 7510 and 7514.

Prime Factorization of 7510


2 7510
5 3755
751 751
1

Prime factors of 7510 are 2, 5,751. Prime factorization of 7510 in exponential form is:

7510 = 21×51×7511

Prime Factorization of 7514


2 7514
13 3757
17 289
17 17
1

Prime factors of 7514 are 2, 13,17. Prime factorization of 7514 in exponential form is:

7514 = 21×131×172

Now multiplying the highest exponent prime factors to calculate the LCM of 7510 and 7514.

LCM(7510,7514) = 21×51×131×172×7511
LCM(7510,7514) = 28215070

Factors of 7510

List of positive integer factors of 7510 that divides 7510 without a remainder.

1, 2, 5, 10, 751, 1502, 3755, 7510

Factors of 7514

List of positive integer factors of 7514 that divides 7514 without a remainder.

1, 2, 13, 17, 26, 34, 221, 289, 442, 578, 3757, 7514

Least Common Multiple of 7510 and 7514 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7510 and 7514, than apply into the LCM equation.

GCF(7510,7514) = 2
LCM(7510,7514) = ( 7510 × 7514) / 2
LCM(7510,7514) = 56430140 / 2
LCM(7510,7514) = 28215070

Properties of LCM 7510 and 7514

(i) The LCM of 7514 and 7510 is associative

LCM of 7510 and 7514 = LCM of 7514 and 7510

Related Least Common Multiples of 7510

Related Least Common Multiples of 7514

Frequently Asked Questions on LCM of 7510 and 7514

1. What is the LCM of 7510 and 7514?

Answer: LCM of 7510 and 7514 is 28215070.

2. What are the Factors of 7510?

Answer: Factors of 7510 are 1, 2, 5, 10, 751, 1502, 3755, 7510. There are 8 integers that are factors of 7510. The greatest factor of 7510 is 7510.

3. What are the Factors of 7514?

Answer: Factors of 7514 are 1, 2, 13, 17, 26, 34, 221, 289, 442, 578, 3757, 7514. There are 12 integers that are factors of 7514. The greatest factor of 7514 is 7514.

4. How to Find the LCM of 7510 and 7514?

Answer:

Least Common Multiple of 7510 and 7514 = 28215070

Step 1: Find the prime factorization of 7510

7510 = 2 x 5 x 751

Step 2: Find the prime factorization of 7514

7514 = 2 x 13 x 17 x 17

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

LCM = 28215070 = 2 x 5 x 13 x 17 x 17 x 751

Step 4: Therefore, the least common multiple of 7510 and 7514 is 28215070.