Least Common Multiple of 7878 and 7885
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 7885 the smallest integer that is 62118030 that is divisible by both numbers.
Least Common Multiple (LCM) of 7878 and 7885 is 62118030.
LCM(7878,7885) = 62118030
LCM of 7878 and 7885
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7878 and 7885 by Prime method
- Least Common Multiple of 7878 and 7885 with GCF Formula
LCM of 7878 and 7885 is 62118030
Least common multiple can be found by multiplying the highest exponent prime factors of 7878 and 7885. First we will calculate the prime factors of 7878 and 7885.
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 7885
| 5 | 7885 |
| 19 | 1577 |
| 83 | 83 |
| 1 |
Prime factors of 7885 are 5, 19,83. Prime factorization of 7885 in exponential form is:
7885 = 51×191×831
Now multiplying the highest exponent prime factors to calculate the LCM of 7878 and 7885.
LCM(7878,7885) = 21×31×51×131×191×831×1011
LCM(7878,7885) = 62118030
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 7885
List of positive integer factors of 7885 that divides 7885 without a remainder.
1, 5, 19, 83, 95, 415, 1577, 7885
Least Common Multiple of 7878 and 7885 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 7885, than apply into the LCM equation.
GCF(7878,7885) = 1
LCM(7878,7885) = ( 7878 × 7885) / 1
LCM(7878,7885) = 62118030 / 1
LCM(7878,7885) = 62118030
Properties of LCM 7878 and 7885
(i) The LCM of 7885 and 7878 is associative
LCM of 7878 and 7885 = LCM of 7885 and 7878
Related Least Common Multiples of 7878
Related Least Common Multiples of 7885
Frequently Asked Questions on LCM of 7878 and 7885
1. What is the LCM of 7878 and 7885?
Answer: LCM of 7878 and 7885 is 62118030.
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 7885?
Answer: Factors of 7885 are 1, 5, 19, 83, 95, 415, 1577, 7885. There are 8 integers that are factors of 7885. The greatest factor of 7885 is 7885.
4. How to Find the LCM of 7878 and 7885?
Answer:
Least Common Multiple of 7878 and 7885 = 62118030
Step 1: Find the prime factorization of 7878
7878 = 2 x 3 x 13 x 101
Step 2: Find the prime factorization of 7885
7885 = 5 x 19 x 83
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 62118030 = 2 x 3 x 5 x 13 x 19 x 83 x 101
Step 4: Therefore, the least common multiple of 7878 and 7885 is 62118030.