Least Common Multiple of 7248 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 7248 and 7252 the smallest integer that is 13140624 that is divisible by both numbers.

Least Common Multiple (LCM) of 7248 and 7252 is 13140624.

LCM(7248,7252) = 13140624

LCM of 7248 and 7252

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

LCM of:
and

Least Common Multiple of 7248 and 7252

LCM of 7248 and 7252 is 13140624

Least common multiple can be found by multiplying the highest exponent prime factors of 7248 and 7252. First we will calculate the prime factors of 7248 and 7252.

Prime Factorization of 7248


2 7248
2 3624
2 1812
2 906
3 453
151 151
1

Prime factors of 7248 are 2, 3,151. Prime factorization of 7248 in exponential form is:

7248 = 24×31×1511

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 7248 and 7252.

LCM(7248,7252) = 24×31×72×371×1511
LCM(7248,7252) = 13140624

Factors of 7248

List of positive integer factors of 7248 that divides 7248 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 151, 302, 453, 604, 906, 1208, 1812, 2416, 3624, 7248

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 7248 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 7248 and 7252, than apply into the LCM equation.

GCF(7248,7252) = 4
LCM(7248,7252) = ( 7248 × 7252) / 4
LCM(7248,7252) = 52562496 / 4
LCM(7248,7252) = 13140624

Properties of LCM 7248 and 7252

(i) The LCM of 7252 and 7248 is associative

LCM of 7248 and 7252 = LCM of 7252 and 7248

Related Least Common Multiples of 7248

Related Least Common Multiples of 7252

Frequently Asked Questions on LCM of 7248 and 7252

1. What is the LCM of 7248 and 7252?

Answer: LCM of 7248 and 7252 is 13140624.

2. What are the Factors of 7248?

Answer: Factors of 7248 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 151, 302, 453, 604, 906, 1208, 1812, 2416, 3624, 7248. There are 20 integers that are factors of 7248. The greatest factor of 7248 is 7248.

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 7248 and 7252?

Answer:

Least Common Multiple of 7248 and 7252 = 13140624

Step 1: Find the prime factorization of 7248

7248 = 2 x 2 x 2 x 2 x 3 x 151

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 = 13140624 = 2 x 2 x 2 x 2 x 3 x 7 x 7 x 37 x 151

Step 4: Therefore, the least common multiple of 7248 and 7252 is 13140624.