Least Common Multiple of 733 and 735

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 735 the smallest integer that is 538755 that is divisible by both numbers.

Least Common Multiple (LCM) of 733 and 735 is 538755.

LCM(733,735) = 538755

LCM of 733 and 735

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

LCM of:
and

Least Common Multiple of 733 and 735

LCM of 733 and 735 is 538755

Least common multiple can be found by multiplying the highest exponent prime factors of 733 and 735. First we will calculate the prime factors of 733 and 735.

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 735


3 735
5 245
7 49
7 7
1

Prime factors of 735 are 3, 5,7. Prime factorization of 735 in exponential form is:

735 = 31×51×72

Now multiplying the highest exponent prime factors to calculate the LCM of 733 and 735.

LCM(733,735) = 31×51×72×7331
LCM(733,735) = 538755

Factors of 733

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

1, 733

Factors of 735

List of positive integer factors of 735 that divides 735 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Least Common Multiple of 733 and 735 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 735, than apply into the LCM equation.

GCF(733,735) = 1
LCM(733,735) = ( 733 × 735) / 1
LCM(733,735) = 538755 / 1
LCM(733,735) = 538755

Properties of LCM 733 and 735

(i) The LCM of 735 and 733 is associative

LCM of 733 and 735 = LCM of 735 and 733

Related Least Common Multiples of 733

Related Least Common Multiples of 735

Frequently Asked Questions on LCM of 733 and 735

1. What is the LCM of 733 and 735?

Answer: LCM of 733 and 735 is 538755.

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 735?

Answer: Factors of 735 are 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735. There are 12 integers that are factors of 735. The greatest factor of 735 is 735.

4. How to Find the LCM of 733 and 735?

Answer:

Least Common Multiple of 733 and 735 = 538755

Step 1: Find the prime factorization of 733

733 = 733

Step 2: Find the prime factorization of 735

735 = 3 x 5 x 7 x 7

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

LCM = 538755 = 3 x 5 x 7 x 7 x 733

Step 4: Therefore, the least common multiple of 733 and 735 is 538755.