Least Common Multiple of 5232 and 5236

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5232 and 5236 the smallest integer that is 6848688 that is divisible by both numbers.

Least Common Multiple (LCM) of 5232 and 5236 is 6848688.

LCM(5232,5236) = 6848688

LCM of 5232 and 5236

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

LCM of:
and

Least Common Multiple of 5232 and 5236

LCM of 5232 and 5236 is 6848688

Least common multiple can be found by multiplying the highest exponent prime factors of 5232 and 5236. First we will calculate the prime factors of 5232 and 5236.

Prime Factorization of 5232


2 5232
2 2616
2 1308
2 654
3 327
109 109
1

Prime factors of 5232 are 2, 3,109. Prime factorization of 5232 in exponential form is:

5232 = 24×31×1091

Prime Factorization of 5236


2 5236
2 2618
7 1309
11 187
17 17
1

Prime factors of 5236 are 2, 7, 11,17. Prime factorization of 5236 in exponential form is:

5236 = 22×71×111×171

Now multiplying the highest exponent prime factors to calculate the LCM of 5232 and 5236.

LCM(5232,5236) = 24×31×71×111×171×1091
LCM(5232,5236) = 6848688

Factors of 5232

List of positive integer factors of 5232 that divides 5232 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 109, 218, 327, 436, 654, 872, 1308, 1744, 2616, 5232

Factors of 5236

List of positive integer factors of 5236 that divides 5236 without a remainder.

1, 2, 4, 7, 11, 14, 17, 22, 28, 34, 44, 68, 77, 119, 154, 187, 238, 308, 374, 476, 748, 1309, 2618, 5236

Least Common Multiple of 5232 and 5236 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5232 and 5236, than apply into the LCM equation.

GCF(5232,5236) = 4
LCM(5232,5236) = ( 5232 × 5236) / 4
LCM(5232,5236) = 27394752 / 4
LCM(5232,5236) = 6848688

Properties of LCM 5232 and 5236

(i) The LCM of 5236 and 5232 is associative

LCM of 5232 and 5236 = LCM of 5236 and 5232

Related Least Common Multiples of 5232

Related Least Common Multiples of 5236

Frequently Asked Questions on LCM of 5232 and 5236

1. What is the LCM of 5232 and 5236?

Answer: LCM of 5232 and 5236 is 6848688.

2. What are the Factors of 5232?

Answer: Factors of 5232 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 109, 218, 327, 436, 654, 872, 1308, 1744, 2616, 5232. There are 20 integers that are factors of 5232. The greatest factor of 5232 is 5232.

3. What are the Factors of 5236?

Answer: Factors of 5236 are 1, 2, 4, 7, 11, 14, 17, 22, 28, 34, 44, 68, 77, 119, 154, 187, 238, 308, 374, 476, 748, 1309, 2618, 5236. There are 24 integers that are factors of 5236. The greatest factor of 5236 is 5236.

4. How to Find the LCM of 5232 and 5236?

Answer:

Least Common Multiple of 5232 and 5236 = 6848688

Step 1: Find the prime factorization of 5232

5232 = 2 x 2 x 2 x 2 x 3 x 109

Step 2: Find the prime factorization of 5236

5236 = 2 x 2 x 7 x 11 x 17

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

LCM = 6848688 = 2 x 2 x 2 x 2 x 3 x 7 x 11 x 17 x 109

Step 4: Therefore, the least common multiple of 5232 and 5236 is 6848688.