Least Common Multiple of 7248 and 7254

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 7254 the smallest integer that is 8762832 that is divisible by both numbers.

Least Common Multiple (LCM) of 7248 and 7254 is 8762832.

LCM(7248,7254) = 8762832

LCM of 7248 and 7254

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

LCM of:
and

Least Common Multiple of 7248 and 7254

LCM of 7248 and 7254 is 8762832

Least common multiple can be found by multiplying the highest exponent prime factors of 7248 and 7254. First we will calculate the prime factors of 7248 and 7254.

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 7254


2 7254
3 3627
3 1209
13 403
31 31
1

Prime factors of 7254 are 2, 3, 13,31. Prime factorization of 7254 in exponential form is:

7254 = 21×32×131×311

Now multiplying the highest exponent prime factors to calculate the LCM of 7248 and 7254.

LCM(7248,7254) = 24×32×131×311×1511
LCM(7248,7254) = 8762832

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 7254

List of positive integer factors of 7254 that divides 7254 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 31, 39, 62, 78, 93, 117, 186, 234, 279, 403, 558, 806, 1209, 2418, 3627, 7254

Least Common Multiple of 7248 and 7254 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 7254, than apply into the LCM equation.

GCF(7248,7254) = 6
LCM(7248,7254) = ( 7248 × 7254) / 6
LCM(7248,7254) = 52576992 / 6
LCM(7248,7254) = 8762832

Properties of LCM 7248 and 7254

(i) The LCM of 7254 and 7248 is associative

LCM of 7248 and 7254 = LCM of 7254 and 7248

Related Least Common Multiples of 7248

Related Least Common Multiples of 7254

Frequently Asked Questions on LCM of 7248 and 7254

1. What is the LCM of 7248 and 7254?

Answer: LCM of 7248 and 7254 is 8762832.

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 7254?

Answer: Factors of 7254 are 1, 2, 3, 6, 9, 13, 18, 26, 31, 39, 62, 78, 93, 117, 186, 234, 279, 403, 558, 806, 1209, 2418, 3627, 7254. There are 24 integers that are factors of 7254. The greatest factor of 7254 is 7254.

4. How to Find the LCM of 7248 and 7254?

Answer:

Least Common Multiple of 7248 and 7254 = 8762832

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 7254

7254 = 2 x 3 x 3 x 13 x 31

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

LCM = 8762832 = 2 x 2 x 2 x 2 x 3 x 3 x 13 x 31 x 151

Step 4: Therefore, the least common multiple of 7248 and 7254 is 8762832.