Least Common Multiple of 733 and 738

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 738 the smallest integer that is 540954 that is divisible by both numbers.

Least Common Multiple (LCM) of 733 and 738 is 540954.

LCM(733,738) = 540954

LCM of 733 and 738

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

LCM of:
and

Least Common Multiple of 733 and 738

LCM of 733 and 738 is 540954

Least common multiple can be found by multiplying the highest exponent prime factors of 733 and 738. First we will calculate the prime factors of 733 and 738.

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 738


2 738
3 369
3 123
41 41
1

Prime factors of 738 are 2, 3,41. Prime factorization of 738 in exponential form is:

738 = 21×32×411

Now multiplying the highest exponent prime factors to calculate the LCM of 733 and 738.

LCM(733,738) = 21×32×411×7331
LCM(733,738) = 540954

Factors of 733

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

1, 733

Factors of 738

List of positive integer factors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Least Common Multiple of 733 and 738 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 738, than apply into the LCM equation.

GCF(733,738) = 1
LCM(733,738) = ( 733 × 738) / 1
LCM(733,738) = 540954 / 1
LCM(733,738) = 540954

Properties of LCM 733 and 738

(i) The LCM of 738 and 733 is associative

LCM of 733 and 738 = LCM of 738 and 733

Related Least Common Multiples of 733

Related Least Common Multiples of 738

Frequently Asked Questions on LCM of 733 and 738

1. What is the LCM of 733 and 738?

Answer: LCM of 733 and 738 is 540954.

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 738?

Answer: Factors of 738 are 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738. There are 12 integers that are factors of 738. The greatest factor of 738 is 738.

4. How to Find the LCM of 733 and 738?

Answer:

Least Common Multiple of 733 and 738 = 540954

Step 1: Find the prime factorization of 733

733 = 733

Step 2: Find the prime factorization of 738

738 = 2 x 3 x 3 x 41

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

LCM = 540954 = 2 x 3 x 3 x 41 x 733

Step 4: Therefore, the least common multiple of 733 and 738 is 540954.