Least Common Multiple of 5232 and 5233

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 5233 the smallest integer that is 27379056 that is divisible by both numbers.

Least Common Multiple (LCM) of 5232 and 5233 is 27379056.

LCM(5232,5233) = 27379056

LCM of 5232 and 5233

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

LCM of:
and

Least Common Multiple of 5232 and 5233

LCM of 5232 and 5233 is 27379056

Least common multiple can be found by multiplying the highest exponent prime factors of 5232 and 5233. First we will calculate the prime factors of 5232 and 5233.

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 5233


5233 5233
1

Prime factors of 5233 are 5233. Prime factorization of 5233 in exponential form is:

5233 = 52331

Now multiplying the highest exponent prime factors to calculate the LCM of 5232 and 5233.

LCM(5232,5233) = 24×31×1091×52331
LCM(5232,5233) = 27379056

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 5233

List of positive integer factors of 5233 that divides 5233 without a remainder.

1, 5233

Least Common Multiple of 5232 and 5233 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 5233, than apply into the LCM equation.

GCF(5232,5233) = 1
LCM(5232,5233) = ( 5232 × 5233) / 1
LCM(5232,5233) = 27379056 / 1
LCM(5232,5233) = 27379056

Properties of LCM 5232 and 5233

(i) The LCM of 5233 and 5232 is associative

LCM of 5232 and 5233 = LCM of 5233 and 5232

Related Least Common Multiples of 5232

Related Least Common Multiples of 5233

Frequently Asked Questions on LCM of 5232 and 5233

1. What is the LCM of 5232 and 5233?

Answer: LCM of 5232 and 5233 is 27379056.

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 5233?

Answer: Factors of 5233 are 1, 5233. There are 2 integers that are factors of 5233. The greatest factor of 5233 is 5233.

4. How to Find the LCM of 5232 and 5233?

Answer:

Least Common Multiple of 5232 and 5233 = 27379056

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 5233

5233 = 5233

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

LCM = 27379056 = 2 x 2 x 2 x 2 x 3 x 109 x 5233

Step 4: Therefore, the least common multiple of 5232 and 5233 is 27379056.