Least Common Multiple of 733 and 739

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 739 the smallest integer that is 541687 that is divisible by both numbers.

Least Common Multiple (LCM) of 733 and 739 is 541687.

LCM(733,739) = 541687

LCM of 733 and 739

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

LCM of:
and

Least Common Multiple of 733 and 739

LCM of 733 and 739 is 541687

Least common multiple can be found by multiplying the highest exponent prime factors of 733 and 739. First we will calculate the prime factors of 733 and 739.

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 739


739 739
1

Prime factors of 739 are 739. Prime factorization of 739 in exponential form is:

739 = 7391

Now multiplying the highest exponent prime factors to calculate the LCM of 733 and 739.

LCM(733,739) = 7331×7391
LCM(733,739) = 541687

Factors of 733

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

1, 733

Factors of 739

List of positive integer factors of 739 that divides 739 without a remainder.

1, 739

Least Common Multiple of 733 and 739 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 739, than apply into the LCM equation.

GCF(733,739) = 1
LCM(733,739) = ( 733 × 739) / 1
LCM(733,739) = 541687 / 1
LCM(733,739) = 541687

Properties of LCM 733 and 739

(i) The LCM of 739 and 733 is associative

LCM of 733 and 739 = LCM of 739 and 733

Related Least Common Multiples of 733

Related Least Common Multiples of 739

Frequently Asked Questions on LCM of 733 and 739

1. What is the LCM of 733 and 739?

Answer: LCM of 733 and 739 is 541687.

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 739?

Answer: Factors of 739 are 1, 739. There are 2 integers that are factors of 739. The greatest factor of 739 is 739.

4. How to Find the LCM of 733 and 739?

Answer:

Least Common Multiple of 733 and 739 = 541687

Step 1: Find the prime factorization of 733

733 = 733

Step 2: Find the prime factorization of 739

739 = 739

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

LCM = 541687 = 733 x 739

Step 4: Therefore, the least common multiple of 733 and 739 is 541687.