Least Common Multiple of 5232 and 5240

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 5240 the smallest integer that is 3426960 that is divisible by both numbers.

Least Common Multiple (LCM) of 5232 and 5240 is 3426960.

LCM(5232,5240) = 3426960

LCM of 5232 and 5240

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

LCM of:
and

Least Common Multiple of 5232 and 5240

LCM of 5232 and 5240 is 3426960

Least common multiple can be found by multiplying the highest exponent prime factors of 5232 and 5240. First we will calculate the prime factors of 5232 and 5240.

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 5240


2 5240
2 2620
2 1310
5 655
131 131
1

Prime factors of 5240 are 2, 5,131. Prime factorization of 5240 in exponential form is:

5240 = 23×51×1311

Now multiplying the highest exponent prime factors to calculate the LCM of 5232 and 5240.

LCM(5232,5240) = 24×31×51×1091×1311
LCM(5232,5240) = 3426960

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 5240

List of positive integer factors of 5240 that divides 5240 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 131, 262, 524, 655, 1048, 1310, 2620, 5240

Least Common Multiple of 5232 and 5240 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 5240, than apply into the LCM equation.

GCF(5232,5240) = 8
LCM(5232,5240) = ( 5232 × 5240) / 8
LCM(5232,5240) = 27415680 / 8
LCM(5232,5240) = 3426960

Properties of LCM 5232 and 5240

(i) The LCM of 5240 and 5232 is associative

LCM of 5232 and 5240 = LCM of 5240 and 5232

Related Least Common Multiples of 5232

Related Least Common Multiples of 5240

Frequently Asked Questions on LCM of 5232 and 5240

1. What is the LCM of 5232 and 5240?

Answer: LCM of 5232 and 5240 is 3426960.

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 5240?

Answer: Factors of 5240 are 1, 2, 4, 5, 8, 10, 20, 40, 131, 262, 524, 655, 1048, 1310, 2620, 5240. There are 16 integers that are factors of 5240. The greatest factor of 5240 is 5240.

4. How to Find the LCM of 5232 and 5240?

Answer:

Least Common Multiple of 5232 and 5240 = 3426960

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 5240

5240 = 2 x 2 x 2 x 5 x 131

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

LCM = 3426960 = 2 x 2 x 2 x 2 x 3 x 5 x 109 x 131

Step 4: Therefore, the least common multiple of 5232 and 5240 is 3426960.