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 6742 the smallest integer that is 45420854 that is divisible by both numbers.
Least Common Multiple (LCM) of 6737 and 6742 is 45420854.
LCM(6737,6742) = 45420854
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 6737 and 6742. First we will calculate the prime factors of 6737 and 6742.
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 6742
2 | 6742 |
3371 | 3371 |
1 |
Prime factors of 6742 are 2,3371. Prime factorization of 6742 in exponential form is:
6742 = 21×33711
Now multiplying the highest exponent prime factors to calculate the LCM of 6737 and 6742.
LCM(6737,6742) = 21×33711×67371
LCM(6737,6742) = 45420854
Factors of 6737
List of positive integer factors of 6737 that divides 6737 without a remainder.
1, 6737
Factors of 6742
List of positive integer factors of 6742 that divides 6742 without a remainder.
1, 2, 3371, 6742
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6737 and 6742, than apply into the LCM equation.
GCF(6737,6742) = 1
LCM(6737,6742) = ( 6737 × 6742) / 1
LCM(6737,6742) = 45420854 / 1
LCM(6737,6742) = 45420854
(i) The LCM of 6742 and 6737 is associative
LCM of 6737 and 6742 = LCM of 6742 and 6737
1. What is the LCM of 6737 and 6742?
Answer: LCM of 6737 and 6742 is 45420854.
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 6742?
Answer: Factors of 6742 are 1, 2, 3371, 6742. There are 4 integers that are factors of 6742. The greatest factor of 6742 is 6742.
4. How to Find the LCM of 6737 and 6742?
Answer:
Least Common Multiple of 6737 and 6742 = 45420854
Step 1: Find the prime factorization of 6737
6737 = 6737
Step 2: Find the prime factorization of 6742
6742 = 2 x 3371
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 45420854 = 2 x 3371 x 6737
Step 4: Therefore, the least common multiple of 6737 and 6742 is 45420854.