Least Common Multiple of 6733 and 6737

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6733 and 6737 the smallest integer that is 45360221 that is divisible by both numbers.

Least Common Multiple (LCM) of 6733 and 6737 is 45360221.

LCM(6733,6737) = 45360221

LCM of 6733 and 6737

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

LCM of:
and

Least Common Multiple of 6733 and 6737

LCM of 6733 and 6737 is 45360221

Least common multiple can be found by multiplying the highest exponent prime factors of 6733 and 6737. First we will calculate the prime factors of 6733 and 6737.

Prime Factorization of 6733


6733 6733
1

Prime factors of 6733 are 6733. Prime factorization of 6733 in exponential form is:

6733 = 67331

Prime Factorization of 6737


6737 6737
1

Prime factors of 6737 are 6737. Prime factorization of 6737 in exponential form is:

6737 = 67371

Now multiplying the highest exponent prime factors to calculate the LCM of 6733 and 6737.

LCM(6733,6737) = 67331×67371
LCM(6733,6737) = 45360221

Factors of 6733

List of positive integer factors of 6733 that divides 6733 without a remainder.

1, 6733

Factors of 6737

List of positive integer factors of 6737 that divides 6737 without a remainder.

1, 6737

Least Common Multiple of 6733 and 6737 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6733 and 6737, than apply into the LCM equation.

GCF(6733,6737) = 1
LCM(6733,6737) = ( 6733 × 6737) / 1
LCM(6733,6737) = 45360221 / 1
LCM(6733,6737) = 45360221

Properties of LCM 6733 and 6737

(i) The LCM of 6737 and 6733 is associative

LCM of 6733 and 6737 = LCM of 6737 and 6733

Related Least Common Multiples of 6733

Related Least Common Multiples of 6737

Frequently Asked Questions on LCM of 6733 and 6737

1. What is the LCM of 6733 and 6737?

Answer: LCM of 6733 and 6737 is 45360221.

2. What are the Factors of 6733?

Answer: Factors of 6733 are 1, 6733. There are 2 integers that are factors of 6733. The greatest factor of 6733 is 6733.

3. What are the Factors of 6737?

Answer: Factors of 6737 are 1, 6737. There are 2 integers that are factors of 6737. The greatest factor of 6737 is 6737.

4. How to Find the LCM of 6733 and 6737?

Answer:

Least Common Multiple of 6733 and 6737 = 45360221

Step 1: Find the prime factorization of 6733

6733 = 6733

Step 2: Find the prime factorization of 6737

6737 = 6737

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

LCM = 45360221 = 6733 x 6737

Step 4: Therefore, the least common multiple of 6733 and 6737 is 45360221.