Least Common Multiple of 733 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 733 and 737 the smallest integer that is 540221 that is divisible by both numbers.

Least Common Multiple (LCM) of 733 and 737 is 540221.

LCM(733,737) = 540221

LCM of 733 and 737

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

LCM of:
and

Least Common Multiple of 733 and 737

LCM of 733 and 737 is 540221

Least common multiple can be found by multiplying the highest exponent prime factors of 733 and 737. First we will calculate the prime factors of 733 and 737.

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 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 733 and 737.

LCM(733,737) = 111×671×7331
LCM(733,737) = 540221

Factors of 733

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

1, 733

Factors of 737

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

1, 11, 67, 737

Least Common Multiple of 733 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 733 and 737, than apply into the LCM equation.

GCF(733,737) = 1
LCM(733,737) = ( 733 × 737) / 1
LCM(733,737) = 540221 / 1
LCM(733,737) = 540221

Properties of LCM 733 and 737

(i) The LCM of 737 and 733 is associative

LCM of 733 and 737 = LCM of 737 and 733

Related Least Common Multiples of 733

Related Least Common Multiples of 737

Frequently Asked Questions on LCM of 733 and 737

1. What is the LCM of 733 and 737?

Answer: LCM of 733 and 737 is 540221.

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 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 733 and 737?

Answer:

Least Common Multiple of 733 and 737 = 540221

Step 1: Find the prime factorization of 733

733 = 733

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 = 540221 = 11 x 67 x 733

Step 4: Therefore, the least common multiple of 733 and 737 is 540221.