Least Common Multiple of 4726 and 4732

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4726 and 4732 the smallest integer that is 11181716 that is divisible by both numbers.

Least Common Multiple (LCM) of 4726 and 4732 is 11181716.

LCM(4726,4732) = 11181716

LCM of 4726 and 4732

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

LCM of:
and

Least Common Multiple of 4726 and 4732

LCM of 4726 and 4732 is 11181716

Least common multiple can be found by multiplying the highest exponent prime factors of 4726 and 4732. First we will calculate the prime factors of 4726 and 4732.

Prime Factorization of 4726


2 4726
17 2363
139 139
1

Prime factors of 4726 are 2, 17,139. Prime factorization of 4726 in exponential form is:

4726 = 21×171×1391

Prime Factorization of 4732


2 4732
2 2366
7 1183
13 169
13 13
1

Prime factors of 4732 are 2, 7,13. Prime factorization of 4732 in exponential form is:

4732 = 22×71×132

Now multiplying the highest exponent prime factors to calculate the LCM of 4726 and 4732.

LCM(4726,4732) = 22×71×132×171×1391
LCM(4726,4732) = 11181716

Factors of 4726

List of positive integer factors of 4726 that divides 4726 without a remainder.

1, 2, 17, 34, 139, 278, 2363, 4726

Factors of 4732

List of positive integer factors of 4732 that divides 4732 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 169, 182, 338, 364, 676, 1183, 2366, 4732

Least Common Multiple of 4726 and 4732 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4726 and 4732, than apply into the LCM equation.

GCF(4726,4732) = 2
LCM(4726,4732) = ( 4726 × 4732) / 2
LCM(4726,4732) = 22363432 / 2
LCM(4726,4732) = 11181716

Properties of LCM 4726 and 4732

(i) The LCM of 4732 and 4726 is associative

LCM of 4726 and 4732 = LCM of 4732 and 4726

Related Least Common Multiples of 4726

Related Least Common Multiples of 4732

Frequently Asked Questions on LCM of 4726 and 4732

1. What is the LCM of 4726 and 4732?

Answer: LCM of 4726 and 4732 is 11181716.

2. What are the Factors of 4726?

Answer: Factors of 4726 are 1, 2, 17, 34, 139, 278, 2363, 4726. There are 8 integers that are factors of 4726. The greatest factor of 4726 is 4726.

3. What are the Factors of 4732?

Answer: Factors of 4732 are 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 169, 182, 338, 364, 676, 1183, 2366, 4732. There are 18 integers that are factors of 4732. The greatest factor of 4732 is 4732.

4. How to Find the LCM of 4726 and 4732?

Answer:

Least Common Multiple of 4726 and 4732 = 11181716

Step 1: Find the prime factorization of 4726

4726 = 2 x 17 x 139

Step 2: Find the prime factorization of 4732

4732 = 2 x 2 x 7 x 13 x 13

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

LCM = 11181716 = 2 x 2 x 7 x 13 x 13 x 17 x 139

Step 4: Therefore, the least common multiple of 4726 and 4732 is 11181716.