Least Common Multiple of 732 and 733

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 732 and 733 the smallest integer that is 536556 that is divisible by both numbers.

Least Common Multiple (LCM) of 732 and 733 is 536556.

LCM(732,733) = 536556

LCM of 732 and 733

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

LCM of:
and

Least Common Multiple of 732 and 733

LCM of 732 and 733 is 536556

Least common multiple can be found by multiplying the highest exponent prime factors of 732 and 733. First we will calculate the prime factors of 732 and 733.

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

Prime Factorization of 733


733 733
1

Prime factors of 733 are 733. Prime factorization of 733 in exponential form is:

733 = 7331

Now multiplying the highest exponent prime factors to calculate the LCM of 732 and 733.

LCM(732,733) = 22×31×611×7331
LCM(732,733) = 536556

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

Factors of 733

List of positive integer factors of 733 that divides 733 without a remainder.

1, 733

Least Common Multiple of 732 and 733 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 732 and 733, than apply into the LCM equation.

GCF(732,733) = 1
LCM(732,733) = ( 732 × 733) / 1
LCM(732,733) = 536556 / 1
LCM(732,733) = 536556

Properties of LCM 732 and 733

(i) The LCM of 733 and 732 is associative

LCM of 732 and 733 = LCM of 733 and 732

Related Least Common Multiples of 732

Related Least Common Multiples of 733

Frequently Asked Questions on LCM of 732 and 733

1. What is the LCM of 732 and 733?

Answer: LCM of 732 and 733 is 536556.

2. 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.

3. What are the Factors of 733?

Answer: Factors of 733 are 1, 733. There are 2 integers that are factors of 733. The greatest factor of 733 is 733.

4. How to Find the LCM of 732 and 733?

Answer:

Least Common Multiple of 732 and 733 = 536556

Step 1: Find the prime factorization of 732

732 = 2 x 2 x 3 x 61

Step 2: Find the prime factorization of 733

733 = 733

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

LCM = 536556 = 2 x 2 x 3 x 61 x 733

Step 4: Therefore, the least common multiple of 732 and 733 is 536556.