Least Common Multiple of 7906 and 7909
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7906 and 7909 the smallest integer that is 62528554 that is divisible by both numbers.
Least Common Multiple (LCM) of 7906 and 7909 is 62528554.
LCM(7906,7909) = 62528554
LCM of 7906 and 7909
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7906 and 7909 by Prime method
- Least Common Multiple of 7906 and 7909 with GCF Formula
LCM of 7906 and 7909 is 62528554
Least common multiple can be found by multiplying the highest exponent prime factors of 7906 and 7909. First we will calculate the prime factors of 7906 and 7909.
Prime Factorization of 7906
| 2 | 7906 |
| 59 | 3953 |
| 67 | 67 |
| 1 |
Prime factors of 7906 are 2, 59,67. Prime factorization of 7906 in exponential form is:
7906 = 21×591×671
Prime Factorization of 7909
| 11 | 7909 |
| 719 | 719 |
| 1 |
Prime factors of 7909 are 11,719. Prime factorization of 7909 in exponential form is:
7909 = 111×7191
Now multiplying the highest exponent prime factors to calculate the LCM of 7906 and 7909.
LCM(7906,7909) = 21×111×591×671×7191
LCM(7906,7909) = 62528554
Factors of 7906
List of positive integer factors of 7906 that divides 7906 without a remainder.
1, 2, 59, 67, 118, 134, 3953, 7906
Factors of 7909
List of positive integer factors of 7909 that divides 7909 without a remainder.
1, 11, 719, 7909
Least Common Multiple of 7906 and 7909 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7906 and 7909, than apply into the LCM equation.
GCF(7906,7909) = 1
LCM(7906,7909) = ( 7906 × 7909) / 1
LCM(7906,7909) = 62528554 / 1
LCM(7906,7909) = 62528554
Properties of LCM 7906 and 7909
(i) The LCM of 7909 and 7906 is associative
LCM of 7906 and 7909 = LCM of 7909 and 7906
Related Least Common Multiples of 7906
Related Least Common Multiples of 7909
Frequently Asked Questions on LCM of 7906 and 7909
1. What is the LCM of 7906 and 7909?
Answer: LCM of 7906 and 7909 is 62528554.
2. What are the Factors of 7906?
Answer: Factors of 7906 are 1, 2, 59, 67, 118, 134, 3953, 7906. There are 8 integers that are factors of 7906. The greatest factor of 7906 is 7906.
3. What are the Factors of 7909?
Answer: Factors of 7909 are 1, 11, 719, 7909. There are 4 integers that are factors of 7909. The greatest factor of 7909 is 7909.
4. How to Find the LCM of 7906 and 7909?
Answer:
Least Common Multiple of 7906 and 7909 = 62528554
Step 1: Find the prime factorization of 7906
7906 = 2 x 59 x 67
Step 2: Find the prime factorization of 7909
7909 = 11 x 719
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 62528554 = 2 x 11 x 59 x 67 x 719
Step 4: Therefore, the least common multiple of 7906 and 7909 is 62528554.