Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7879 and 7886 the smallest integer that is 62133794 that is divisible by both numbers.
Least Common Multiple (LCM) of 7879 and 7886 is 62133794.
LCM(7879,7886) = 62133794
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 7879 and 7886. First we will calculate the prime factors of 7879 and 7886.
Prime Factorization of 7879
7879 | 7879 |
1 |
Prime factors of 7879 are 7879. Prime factorization of 7879 in exponential form is:
7879 = 78791
Prime Factorization of 7886
2 | 7886 |
3943 | 3943 |
1 |
Prime factors of 7886 are 2,3943. Prime factorization of 7886 in exponential form is:
7886 = 21×39431
Now multiplying the highest exponent prime factors to calculate the LCM of 7879 and 7886.
LCM(7879,7886) = 21×39431×78791
LCM(7879,7886) = 62133794
Factors of 7879
List of positive integer factors of 7879 that divides 7879 without a remainder.
1, 7879
Factors of 7886
List of positive integer factors of 7886 that divides 7886 without a remainder.
1, 2, 3943, 7886
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7879 and 7886, than apply into the LCM equation.
GCF(7879,7886) = 1
LCM(7879,7886) = ( 7879 × 7886) / 1
LCM(7879,7886) = 62133794 / 1
LCM(7879,7886) = 62133794
(i) The LCM of 7886 and 7879 is associative
LCM of 7879 and 7886 = LCM of 7886 and 7879
1. What is the LCM of 7879 and 7886?
Answer: LCM of 7879 and 7886 is 62133794.
2. What are the Factors of 7879?
Answer: Factors of 7879 are 1, 7879. There are 2 integers that are factors of 7879. The greatest factor of 7879 is 7879.
3. What are the Factors of 7886?
Answer: Factors of 7886 are 1, 2, 3943, 7886. There are 4 integers that are factors of 7886. The greatest factor of 7886 is 7886.
4. How to Find the LCM of 7879 and 7886?
Answer:
Least Common Multiple of 7879 and 7886 = 62133794
Step 1: Find the prime factorization of 7879
7879 = 7879
Step 2: Find the prime factorization of 7886
7886 = 2 x 3943
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 62133794 = 2 x 3943 x 7879
Step 4: Therefore, the least common multiple of 7879 and 7886 is 62133794.