Least Common Multiple of 724 and 732

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 724 and 732 the smallest integer that is 132492 that is divisible by both numbers.

Least Common Multiple (LCM) of 724 and 732 is 132492.

LCM(724,732) = 132492

LCM of 724 and 732

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

LCM of:
and

Least Common Multiple of 724 and 732

LCM of 724 and 732 is 132492

Least common multiple can be found by multiplying the highest exponent prime factors of 724 and 732. First we will calculate the prime factors of 724 and 732.

Prime Factorization of 724


2 724
2 362
181 181
1

Prime factors of 724 are 2,181. Prime factorization of 724 in exponential form is:

724 = 22×1811

Prime Factorization of 732


2 732
2 366
3 183
61 61
1

Prime factors of 732 are 2, 3,61. Prime factorization of 732 in exponential form is:

732 = 22×31×611

Now multiplying the highest exponent prime factors to calculate the LCM of 724 and 732.

LCM(724,732) = 22×31×611×1811
LCM(724,732) = 132492

Factors of 724

List of positive integer factors of 724 that divides 724 without a remainder.

1, 2, 4, 181, 362, 724

Factors of 732

List of positive integer factors of 732 that divides 732 without a remainder.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Least Common Multiple of 724 and 732 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 724 and 732, than apply into the LCM equation.

GCF(724,732) = 4
LCM(724,732) = ( 724 × 732) / 4
LCM(724,732) = 529968 / 4
LCM(724,732) = 132492

Properties of LCM 724 and 732

(i) The LCM of 732 and 724 is associative

LCM of 724 and 732 = LCM of 732 and 724

Related Least Common Multiples of 724

Related Least Common Multiples of 732

Frequently Asked Questions on LCM of 724 and 732

1. What is the LCM of 724 and 732?

Answer: LCM of 724 and 732 is 132492.

2. What are the Factors of 724?

Answer: Factors of 724 are 1, 2, 4, 181, 362, 724. There are 6 integers that are factors of 724. The greatest factor of 724 is 724.

3. What are the Factors of 732?

Answer: Factors of 732 are 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732. There are 12 integers that are factors of 732. The greatest factor of 732 is 732.

4. How to Find the LCM of 724 and 732?

Answer:

Least Common Multiple of 724 and 732 = 132492

Step 1: Find the prime factorization of 724

724 = 2 x 2 x 181

Step 2: Find the prime factorization of 732

732 = 2 x 2 x 3 x 61

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

LCM = 132492 = 2 x 2 x 3 x 61 x 181

Step 4: Therefore, the least common multiple of 724 and 732 is 132492.