Least Common Multiple of 6737 and 6738

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6737 and 6738 the smallest integer that is 45393906 that is divisible by both numbers.

Least Common Multiple (LCM) of 6737 and 6738 is 45393906.

LCM(6737,6738) = 45393906

LCM of 6737 and 6738

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

LCM of:
and

Least Common Multiple of 6737 and 6738

LCM of 6737 and 6738 is 45393906

Least common multiple can be found by multiplying the highest exponent prime factors of 6737 and 6738. First we will calculate the prime factors of 6737 and 6738.

Prime Factorization of 6737


6737 6737
1

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

6737 = 67371

Prime Factorization of 6738


2 6738
3 3369
1123 1123
1

Prime factors of 6738 are 2, 3,1123. Prime factorization of 6738 in exponential form is:

6738 = 21×31×11231

Now multiplying the highest exponent prime factors to calculate the LCM of 6737 and 6738.

LCM(6737,6738) = 21×31×11231×67371
LCM(6737,6738) = 45393906

Factors of 6737

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

1, 6737

Factors of 6738

List of positive integer factors of 6738 that divides 6738 without a remainder.

1, 2, 3, 6, 1123, 2246, 3369, 6738

Least Common Multiple of 6737 and 6738 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6737 and 6738, than apply into the LCM equation.

GCF(6737,6738) = 1
LCM(6737,6738) = ( 6737 × 6738) / 1
LCM(6737,6738) = 45393906 / 1
LCM(6737,6738) = 45393906

Properties of LCM 6737 and 6738

(i) The LCM of 6738 and 6737 is associative

LCM of 6737 and 6738 = LCM of 6738 and 6737

Related Least Common Multiples of 6737

Related Least Common Multiples of 6738

Frequently Asked Questions on LCM of 6737 and 6738

1. What is the LCM of 6737 and 6738?

Answer: LCM of 6737 and 6738 is 45393906.

2. 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.

3. What are the Factors of 6738?

Answer: Factors of 6738 are 1, 2, 3, 6, 1123, 2246, 3369, 6738. There are 8 integers that are factors of 6738. The greatest factor of 6738 is 6738.

4. How to Find the LCM of 6737 and 6738?

Answer:

Least Common Multiple of 6737 and 6738 = 45393906

Step 1: Find the prime factorization of 6737

6737 = 6737

Step 2: Find the prime factorization of 6738

6738 = 2 x 3 x 1123

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

LCM = 45393906 = 2 x 3 x 1123 x 6737

Step 4: Therefore, the least common multiple of 6737 and 6738 is 45393906.