Least Common Multiple of 730 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 730 and 737 the smallest integer that is 538010 that is divisible by both numbers.

Least Common Multiple (LCM) of 730 and 737 is 538010.

LCM(730,737) = 538010

LCM of 730 and 737

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

LCM of:
and

Least Common Multiple of 730 and 737

LCM of 730 and 737 is 538010

Least common multiple can be found by multiplying the highest exponent prime factors of 730 and 737. First we will calculate the prime factors of 730 and 737.

Prime Factorization of 730


2 730
5 365
73 73
1

Prime factors of 730 are 2, 5,73. Prime factorization of 730 in exponential form is:

730 = 21×51×731

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 730 and 737.

LCM(730,737) = 21×51×111×671×731
LCM(730,737) = 538010

Factors of 730

List of positive integer factors of 730 that divides 730 without a remainder.

1, 2, 5, 10, 73, 146, 365, 730

Factors of 737

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

1, 11, 67, 737

Least Common Multiple of 730 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 730 and 737, than apply into the LCM equation.

GCF(730,737) = 1
LCM(730,737) = ( 730 × 737) / 1
LCM(730,737) = 538010 / 1
LCM(730,737) = 538010

Properties of LCM 730 and 737

(i) The LCM of 737 and 730 is associative

LCM of 730 and 737 = LCM of 737 and 730

Related Least Common Multiples of 730

Related Least Common Multiples of 737

Frequently Asked Questions on LCM of 730 and 737

1. What is the LCM of 730 and 737?

Answer: LCM of 730 and 737 is 538010.

2. What are the Factors of 730?

Answer: Factors of 730 are 1, 2, 5, 10, 73, 146, 365, 730. There are 8 integers that are factors of 730. The greatest factor of 730 is 730.

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 730 and 737?

Answer:

Least Common Multiple of 730 and 737 = 538010

Step 1: Find the prime factorization of 730

730 = 2 x 5 x 73

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 = 538010 = 2 x 5 x 11 x 67 x 73

Step 4: Therefore, the least common multiple of 730 and 737 is 538010.