Least Common Multiple of 7245 and 7252

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7245 and 7252 the smallest integer that is 7505820 that is divisible by both numbers.

Least Common Multiple (LCM) of 7245 and 7252 is 7505820.

LCM(7245,7252) = 7505820

LCM of 7245 and 7252

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

LCM of:
and

Least Common Multiple of 7245 and 7252

LCM of 7245 and 7252 is 7505820

Least common multiple can be found by multiplying the highest exponent prime factors of 7245 and 7252. First we will calculate the prime factors of 7245 and 7252.

Prime Factorization of 7245


3 7245
3 2415
5 805
7 161
23 23
1

Prime factors of 7245 are 3, 5, 7,23. Prime factorization of 7245 in exponential form is:

7245 = 32×51×71×231

Prime Factorization of 7252


2 7252
2 3626
7 1813
7 259
37 37
1

Prime factors of 7252 are 2, 7,37. Prime factorization of 7252 in exponential form is:

7252 = 22×72×371

Now multiplying the highest exponent prime factors to calculate the LCM of 7245 and 7252.

LCM(7245,7252) = 22×32×51×72×231×371
LCM(7245,7252) = 7505820

Factors of 7245

List of positive integer factors of 7245 that divides 7245 without a remainder.

1, 3, 5, 7, 9, 15, 21, 23, 35, 45, 63, 69, 105, 115, 161, 207, 315, 345, 483, 805, 1035, 1449, 2415, 7245

Factors of 7252

List of positive integer factors of 7252 that divides 7252 without a remainder.

1, 2, 4, 7, 14, 28, 37, 49, 74, 98, 148, 196, 259, 518, 1036, 1813, 3626, 7252

Least Common Multiple of 7245 and 7252 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7245 and 7252, than apply into the LCM equation.

GCF(7245,7252) = 7
LCM(7245,7252) = ( 7245 × 7252) / 7
LCM(7245,7252) = 52540740 / 7
LCM(7245,7252) = 7505820

Properties of LCM 7245 and 7252

(i) The LCM of 7252 and 7245 is associative

LCM of 7245 and 7252 = LCM of 7252 and 7245

Related Least Common Multiples of 7245

Related Least Common Multiples of 7252

Frequently Asked Questions on LCM of 7245 and 7252

1. What is the LCM of 7245 and 7252?

Answer: LCM of 7245 and 7252 is 7505820.

2. What are the Factors of 7245?

Answer: Factors of 7245 are 1, 3, 5, 7, 9, 15, 21, 23, 35, 45, 63, 69, 105, 115, 161, 207, 315, 345, 483, 805, 1035, 1449, 2415, 7245. There are 24 integers that are factors of 7245. The greatest factor of 7245 is 7245.

3. What are the Factors of 7252?

Answer: Factors of 7252 are 1, 2, 4, 7, 14, 28, 37, 49, 74, 98, 148, 196, 259, 518, 1036, 1813, 3626, 7252. There are 18 integers that are factors of 7252. The greatest factor of 7252 is 7252.

4. How to Find the LCM of 7245 and 7252?

Answer:

Least Common Multiple of 7245 and 7252 = 7505820

Step 1: Find the prime factorization of 7245

7245 = 3 x 3 x 5 x 7 x 23

Step 2: Find the prime factorization of 7252

7252 = 2 x 2 x 7 x 7 x 37

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

LCM = 7505820 = 2 x 2 x 3 x 3 x 5 x 7 x 7 x 23 x 37

Step 4: Therefore, the least common multiple of 7245 and 7252 is 7505820.