Least Common Multiple of 729 and 737

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 729 and 737 the smallest integer that is 537273 that is divisible by both numbers.

Least Common Multiple (LCM) of 729 and 737 is 537273.

LCM(729,737) = 537273

LCM of 729 and 737

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

LCM of:
and

Least Common Multiple of 729 and 737

LCM of 729 and 737 is 537273

Least common multiple can be found by multiplying the highest exponent prime factors of 729 and 737. First we will calculate the prime factors of 729 and 737.

Prime Factorization of 729


3 729
3 243
3 81
3 27
3 9
3 3
1

Prime factors of 729 are 3. Prime factorization of 729 in exponential form is:

729 = 36

Prime Factorization of 737


11 737
67 67
1

Prime factors of 737 are 11,67. Prime factorization of 737 in exponential form is:

737 = 111×671

Now multiplying the highest exponent prime factors to calculate the LCM of 729 and 737.

LCM(729,737) = 36×111×671
LCM(729,737) = 537273

Factors of 729

List of positive integer factors of 729 that divides 729 without a remainder.

1, 3, 9, 27, 81, 243, 729

Factors of 737

List of positive integer factors of 737 that divides 737 without a remainder.

1, 11, 67, 737

Least Common Multiple of 729 and 737 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 729 and 737, than apply into the LCM equation.

GCF(729,737) = 1
LCM(729,737) = ( 729 × 737) / 1
LCM(729,737) = 537273 / 1
LCM(729,737) = 537273

Properties of LCM 729 and 737

(i) The LCM of 737 and 729 is associative

LCM of 729 and 737 = LCM of 737 and 729

Related Least Common Multiples of 729

Related Least Common Multiples of 737

Frequently Asked Questions on LCM of 729 and 737

1. What is the LCM of 729 and 737?

Answer: LCM of 729 and 737 is 537273.

2. What are the Factors of 729?

Answer: Factors of 729 are 1, 3, 9, 27, 81, 243, 729. There are 7 integers that are factors of 729. The greatest factor of 729 is 729.

3. What are the Factors of 737?

Answer: Factors of 737 are 1, 11, 67, 737. There are 4 integers that are factors of 737. The greatest factor of 737 is 737.

4. How to Find the LCM of 729 and 737?

Answer:

Least Common Multiple of 729 and 737 = 537273

Step 1: Find the prime factorization of 729

729 = 3 x 3 x 3 x 3 x 3 x 3

Step 2: Find the prime factorization of 737

737 = 11 x 67

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

LCM = 537273 = 3 x 3 x 3 x 3 x 3 x 3 x 11 x 67

Step 4: Therefore, the least common multiple of 729 and 737 is 537273.