Least Common Multiple of 733 and 734

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 733 and 734 the smallest integer that is 538022 that is divisible by both numbers.

Least Common Multiple (LCM) of 733 and 734 is 538022.

LCM(733,734) = 538022

LCM of 733 and 734

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

LCM of:
and

Least Common Multiple of 733 and 734

LCM of 733 and 734 is 538022

Least common multiple can be found by multiplying the highest exponent prime factors of 733 and 734. First we will calculate the prime factors of 733 and 734.

Prime Factorization of 733


733 733
1

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

733 = 7331

Prime Factorization of 734


2 734
367 367
1

Prime factors of 734 are 2,367. Prime factorization of 734 in exponential form is:

734 = 21×3671

Now multiplying the highest exponent prime factors to calculate the LCM of 733 and 734.

LCM(733,734) = 21×3671×7331
LCM(733,734) = 538022

Factors of 733

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

1, 733

Factors of 734

List of positive integer factors of 734 that divides 734 without a remainder.

1, 2, 367, 734

Least Common Multiple of 733 and 734 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 733 and 734, than apply into the LCM equation.

GCF(733,734) = 1
LCM(733,734) = ( 733 × 734) / 1
LCM(733,734) = 538022 / 1
LCM(733,734) = 538022

Properties of LCM 733 and 734

(i) The LCM of 734 and 733 is associative

LCM of 733 and 734 = LCM of 734 and 733

Related Least Common Multiples of 733

Related Least Common Multiples of 734

Frequently Asked Questions on LCM of 733 and 734

1. What is the LCM of 733 and 734?

Answer: LCM of 733 and 734 is 538022.

2. 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.

3. What are the Factors of 734?

Answer: Factors of 734 are 1, 2, 367, 734. There are 4 integers that are factors of 734. The greatest factor of 734 is 734.

4. How to Find the LCM of 733 and 734?

Answer:

Least Common Multiple of 733 and 734 = 538022

Step 1: Find the prime factorization of 733

733 = 733

Step 2: Find the prime factorization of 734

734 = 2 x 367

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

LCM = 538022 = 2 x 367 x 733

Step 4: Therefore, the least common multiple of 733 and 734 is 538022.