Least Common Multiple of 7232 and 7239

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7232 and 7239 the smallest integer that is 52352448 that is divisible by both numbers.

Least Common Multiple (LCM) of 7232 and 7239 is 52352448.

LCM(7232,7239) = 52352448

LCM of 7232 and 7239

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

LCM of:
and

Least Common Multiple of 7232 and 7239

LCM of 7232 and 7239 is 52352448

Least common multiple can be found by multiplying the highest exponent prime factors of 7232 and 7239. First we will calculate the prime factors of 7232 and 7239.

Prime Factorization of 7232


2 7232
2 3616
2 1808
2 904
2 452
2 226
113 113
1

Prime factors of 7232 are 2,113. Prime factorization of 7232 in exponential form is:

7232 = 26×1131

Prime Factorization of 7239


3 7239
19 2413
127 127
1

Prime factors of 7239 are 3, 19,127. Prime factorization of 7239 in exponential form is:

7239 = 31×191×1271

Now multiplying the highest exponent prime factors to calculate the LCM of 7232 and 7239.

LCM(7232,7239) = 26×31×191×1131×1271
LCM(7232,7239) = 52352448

Factors of 7232

List of positive integer factors of 7232 that divides 7232 without a remainder.

1, 2, 4, 8, 16, 32, 64, 113, 226, 452, 904, 1808, 3616, 7232

Factors of 7239

List of positive integer factors of 7239 that divides 7239 without a remainder.

1, 3, 19, 57, 127, 381, 2413, 7239

Least Common Multiple of 7232 and 7239 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7232 and 7239, than apply into the LCM equation.

GCF(7232,7239) = 1
LCM(7232,7239) = ( 7232 × 7239) / 1
LCM(7232,7239) = 52352448 / 1
LCM(7232,7239) = 52352448

Properties of LCM 7232 and 7239

(i) The LCM of 7239 and 7232 is associative

LCM of 7232 and 7239 = LCM of 7239 and 7232

Related Least Common Multiples of 7232

Related Least Common Multiples of 7239

Frequently Asked Questions on LCM of 7232 and 7239

1. What is the LCM of 7232 and 7239?

Answer: LCM of 7232 and 7239 is 52352448.

2. What are the Factors of 7232?

Answer: Factors of 7232 are 1, 2, 4, 8, 16, 32, 64, 113, 226, 452, 904, 1808, 3616, 7232. There are 14 integers that are factors of 7232. The greatest factor of 7232 is 7232.

3. What are the Factors of 7239?

Answer: Factors of 7239 are 1, 3, 19, 57, 127, 381, 2413, 7239. There are 8 integers that are factors of 7239. The greatest factor of 7239 is 7239.

4. How to Find the LCM of 7232 and 7239?

Answer:

Least Common Multiple of 7232 and 7239 = 52352448

Step 1: Find the prime factorization of 7232

7232 = 2 x 2 x 2 x 2 x 2 x 2 x 113

Step 2: Find the prime factorization of 7239

7239 = 3 x 19 x 127

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

LCM = 52352448 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 19 x 113 x 127

Step 4: Therefore, the least common multiple of 7232 and 7239 is 52352448.