Least Common Multiple of 7510 and 7518

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 7518 the smallest integer that is 28230090 that is divisible by both numbers.

Least Common Multiple (LCM) of 7510 and 7518 is 28230090.

LCM(7510,7518) = 28230090

LCM of 7510 and 7518

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

LCM of:
and

Least Common Multiple of 7510 and 7518

LCM of 7510 and 7518 is 28230090

Least common multiple can be found by multiplying the highest exponent prime factors of 7510 and 7518. First we will calculate the prime factors of 7510 and 7518.

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 7518


2 7518
3 3759
7 1253
179 179
1

Prime factors of 7518 are 2, 3, 7,179. Prime factorization of 7518 in exponential form is:

7518 = 21×31×71×1791

Now multiplying the highest exponent prime factors to calculate the LCM of 7510 and 7518.

LCM(7510,7518) = 21×31×51×71×1791×7511
LCM(7510,7518) = 28230090

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 7518

List of positive integer factors of 7518 that divides 7518 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 179, 358, 537, 1074, 1253, 2506, 3759, 7518

Least Common Multiple of 7510 and 7518 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 7518, than apply into the LCM equation.

GCF(7510,7518) = 2
LCM(7510,7518) = ( 7510 × 7518) / 2
LCM(7510,7518) = 56460180 / 2
LCM(7510,7518) = 28230090

Properties of LCM 7510 and 7518

(i) The LCM of 7518 and 7510 is associative

LCM of 7510 and 7518 = LCM of 7518 and 7510

Related Least Common Multiples of 7510

Related Least Common Multiples of 7518

Frequently Asked Questions on LCM of 7510 and 7518

1. What is the LCM of 7510 and 7518?

Answer: LCM of 7510 and 7518 is 28230090.

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 7518?

Answer: Factors of 7518 are 1, 2, 3, 6, 7, 14, 21, 42, 179, 358, 537, 1074, 1253, 2506, 3759, 7518. There are 16 integers that are factors of 7518. The greatest factor of 7518 is 7518.

4. How to Find the LCM of 7510 and 7518?

Answer:

Least Common Multiple of 7510 and 7518 = 28230090

Step 1: Find the prime factorization of 7510

7510 = 2 x 5 x 751

Step 2: Find the prime factorization of 7518

7518 = 2 x 3 x 7 x 179

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

LCM = 28230090 = 2 x 3 x 5 x 7 x 179 x 751

Step 4: Therefore, the least common multiple of 7510 and 7518 is 28230090.