Least Common Multiple of 7878 and 7883
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7878 and 7883 the smallest integer that is 62102274 that is divisible by both numbers.
Least Common Multiple (LCM) of 7878 and 7883 is 62102274.
LCM(7878,7883) = 62102274
LCM of 7878 and 7883
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7878 and 7883 by Prime method
- Least Common Multiple of 7878 and 7883 with GCF Formula
LCM of 7878 and 7883 is 62102274
Least common multiple can be found by multiplying the highest exponent prime factors of 7878 and 7883. First we will calculate the prime factors of 7878 and 7883.
Prime Factorization of 7878
| 2 | 7878 |
| 3 | 3939 |
| 13 | 1313 |
| 101 | 101 |
| 1 |
Prime factors of 7878 are 2, 3, 13,101. Prime factorization of 7878 in exponential form is:
7878 = 21×31×131×1011
Prime Factorization of 7883
| 7883 | 7883 |
| 1 |
Prime factors of 7883 are 7883. Prime factorization of 7883 in exponential form is:
7883 = 78831
Now multiplying the highest exponent prime factors to calculate the LCM of 7878 and 7883.
LCM(7878,7883) = 21×31×131×1011×78831
LCM(7878,7883) = 62102274
Factors of 7878
List of positive integer factors of 7878 that divides 7878 without a remainder.
1, 2, 3, 6, 13, 26, 39, 78, 101, 202, 303, 606, 1313, 2626, 3939, 7878
Factors of 7883
List of positive integer factors of 7883 that divides 7883 without a remainder.
1, 7883
Least Common Multiple of 7878 and 7883 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7878 and 7883, than apply into the LCM equation.
GCF(7878,7883) = 1
LCM(7878,7883) = ( 7878 × 7883) / 1
LCM(7878,7883) = 62102274 / 1
LCM(7878,7883) = 62102274
Properties of LCM 7878 and 7883
(i) The LCM of 7883 and 7878 is associative
LCM of 7878 and 7883 = LCM of 7883 and 7878
Related Least Common Multiples of 7878
Related Least Common Multiples of 7883
Frequently Asked Questions on LCM of 7878 and 7883
1. What is the LCM of 7878 and 7883?
Answer: LCM of 7878 and 7883 is 62102274.
2. What are the Factors of 7878?
Answer: Factors of 7878 are 1, 2, 3, 6, 13, 26, 39, 78, 101, 202, 303, 606, 1313, 2626, 3939, 7878. There are 16 integers that are factors of 7878. The greatest factor of 7878 is 7878.
3. What are the Factors of 7883?
Answer: Factors of 7883 are 1, 7883. There are 2 integers that are factors of 7883. The greatest factor of 7883 is 7883.
4. How to Find the LCM of 7878 and 7883?
Answer:
Least Common Multiple of 7878 and 7883 = 62102274
Step 1: Find the prime factorization of 7878
7878 = 2 x 3 x 13 x 101
Step 2: Find the prime factorization of 7883
7883 = 7883
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 62102274 = 2 x 3 x 13 x 101 x 7883
Step 4: Therefore, the least common multiple of 7878 and 7883 is 62102274.