Least Common Multiple of 6908 and 6915
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6908 and 6915 the smallest integer that is 47768820 that is divisible by both numbers.
Least Common Multiple (LCM) of 6908 and 6915 is 47768820.
LCM(6908,6915) = 47768820
LCM of 6908 and 6915
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6908 and 6915 by Prime method
- Least Common Multiple of 6908 and 6915 with GCF Formula
LCM of 6908 and 6915 is 47768820
Least common multiple can be found by multiplying the highest exponent prime factors of 6908 and 6915. First we will calculate the prime factors of 6908 and 6915.
Prime Factorization of 6908
| 2 | 6908 |
| 2 | 3454 |
| 11 | 1727 |
| 157 | 157 |
| 1 |
Prime factors of 6908 are 2, 11,157. Prime factorization of 6908 in exponential form is:
6908 = 22×111×1571
Prime Factorization of 6915
| 3 | 6915 |
| 5 | 2305 |
| 461 | 461 |
| 1 |
Prime factors of 6915 are 3, 5,461. Prime factorization of 6915 in exponential form is:
6915 = 31×51×4611
Now multiplying the highest exponent prime factors to calculate the LCM of 6908 and 6915.
LCM(6908,6915) = 22×31×51×111×1571×4611
LCM(6908,6915) = 47768820
Factors of 6908
List of positive integer factors of 6908 that divides 6908 without a remainder.
1, 2, 4, 11, 22, 44, 157, 314, 628, 1727, 3454, 6908
Factors of 6915
List of positive integer factors of 6915 that divides 6915 without a remainder.
1, 3, 5, 15, 461, 1383, 2305, 6915
Least Common Multiple of 6908 and 6915 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6908 and 6915, than apply into the LCM equation.
GCF(6908,6915) = 1
LCM(6908,6915) = ( 6908 × 6915) / 1
LCM(6908,6915) = 47768820 / 1
LCM(6908,6915) = 47768820
Properties of LCM 6908 and 6915
(i) The LCM of 6915 and 6908 is associative
LCM of 6908 and 6915 = LCM of 6915 and 6908
Related Least Common Multiples of 6908
Related Least Common Multiples of 6915
Frequently Asked Questions on LCM of 6908 and 6915
1. What is the LCM of 6908 and 6915?
Answer: LCM of 6908 and 6915 is 47768820.
2. What are the Factors of 6908?
Answer: Factors of 6908 are 1, 2, 4, 11, 22, 44, 157, 314, 628, 1727, 3454, 6908. There are 12 integers that are factors of 6908. The greatest factor of 6908 is 6908.
3. What are the Factors of 6915?
Answer: Factors of 6915 are 1, 3, 5, 15, 461, 1383, 2305, 6915. There are 8 integers that are factors of 6915. The greatest factor of 6915 is 6915.
4. How to Find the LCM of 6908 and 6915?
Answer:
Least Common Multiple of 6908 and 6915 = 47768820
Step 1: Find the prime factorization of 6908
6908 = 2 x 2 x 11 x 157
Step 2: Find the prime factorization of 6915
6915 = 3 x 5 x 461
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 47768820 = 2 x 2 x 3 x 5 x 11 x 157 x 461
Step 4: Therefore, the least common multiple of 6908 and 6915 is 47768820.