Least Common Multiple of 4832 and 4837

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4832 and 4837 the smallest integer that is 23372384 that is divisible by both numbers.

Least Common Multiple (LCM) of 4832 and 4837 is 23372384.

LCM(4832,4837) = 23372384

LCM of 4832 and 4837

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

LCM of:
and

Least Common Multiple of 4832 and 4837

LCM of 4832 and 4837 is 23372384

Least common multiple can be found by multiplying the highest exponent prime factors of 4832 and 4837. First we will calculate the prime factors of 4832 and 4837.

Prime Factorization of 4832


2 4832
2 2416
2 1208
2 604
2 302
151 151
1

Prime factors of 4832 are 2,151. Prime factorization of 4832 in exponential form is:

4832 = 25×1511

Prime Factorization of 4837


7 4837
691 691
1

Prime factors of 4837 are 7,691. Prime factorization of 4837 in exponential form is:

4837 = 71×6911

Now multiplying the highest exponent prime factors to calculate the LCM of 4832 and 4837.

LCM(4832,4837) = 25×71×1511×6911
LCM(4832,4837) = 23372384

Factors of 4832

List of positive integer factors of 4832 that divides 4832 without a remainder.

1, 2, 4, 8, 16, 32, 151, 302, 604, 1208, 2416, 4832

Factors of 4837

List of positive integer factors of 4837 that divides 4837 without a remainder.

1, 7, 691, 4837

Least Common Multiple of 4832 and 4837 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4832 and 4837, than apply into the LCM equation.

GCF(4832,4837) = 1
LCM(4832,4837) = ( 4832 × 4837) / 1
LCM(4832,4837) = 23372384 / 1
LCM(4832,4837) = 23372384

Properties of LCM 4832 and 4837

(i) The LCM of 4837 and 4832 is associative

LCM of 4832 and 4837 = LCM of 4837 and 4832

Related Least Common Multiples of 4832

Related Least Common Multiples of 4837

Frequently Asked Questions on LCM of 4832 and 4837

1. What is the LCM of 4832 and 4837?

Answer: LCM of 4832 and 4837 is 23372384.

2. What are the Factors of 4832?

Answer: Factors of 4832 are 1, 2, 4, 8, 16, 32, 151, 302, 604, 1208, 2416, 4832. There are 12 integers that are factors of 4832. The greatest factor of 4832 is 4832.

3. What are the Factors of 4837?

Answer: Factors of 4837 are 1, 7, 691, 4837. There are 4 integers that are factors of 4837. The greatest factor of 4837 is 4837.

4. How to Find the LCM of 4832 and 4837?

Answer:

Least Common Multiple of 4832 and 4837 = 23372384

Step 1: Find the prime factorization of 4832

4832 = 2 x 2 x 2 x 2 x 2 x 151

Step 2: Find the prime factorization of 4837

4837 = 7 x 691

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

LCM = 23372384 = 2 x 2 x 2 x 2 x 2 x 7 x 151 x 691

Step 4: Therefore, the least common multiple of 4832 and 4837 is 23372384.