Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7862 and 7867 the smallest integer that is 61850354 that is divisible by both numbers.
Least Common Multiple (LCM) of 7862 and 7867 is 61850354.
LCM(7862,7867) = 61850354
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 7862 and 7867. First we will calculate the prime factors of 7862 and 7867.
Prime Factorization of 7862
2 | 7862 |
3931 | 3931 |
1 |
Prime factors of 7862 are 2,3931. Prime factorization of 7862 in exponential form is:
7862 = 21×39311
Prime Factorization of 7867
7867 | 7867 |
1 |
Prime factors of 7867 are 7867. Prime factorization of 7867 in exponential form is:
7867 = 78671
Now multiplying the highest exponent prime factors to calculate the LCM of 7862 and 7867.
LCM(7862,7867) = 21×39311×78671
LCM(7862,7867) = 61850354
Factors of 7862
List of positive integer factors of 7862 that divides 7862 without a remainder.
1, 2, 3931, 7862
Factors of 7867
List of positive integer factors of 7867 that divides 7867 without a remainder.
1, 7867
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7862 and 7867, than apply into the LCM equation.
GCF(7862,7867) = 1
LCM(7862,7867) = ( 7862 × 7867) / 1
LCM(7862,7867) = 61850354 / 1
LCM(7862,7867) = 61850354
(i) The LCM of 7867 and 7862 is associative
LCM of 7862 and 7867 = LCM of 7867 and 7862
1. What is the LCM of 7862 and 7867?
Answer: LCM of 7862 and 7867 is 61850354.
2. What are the Factors of 7862?
Answer: Factors of 7862 are 1, 2, 3931, 7862. There are 4 integers that are factors of 7862. The greatest factor of 7862 is 7862.
3. What are the Factors of 7867?
Answer: Factors of 7867 are 1, 7867. There are 2 integers that are factors of 7867. The greatest factor of 7867 is 7867.
4. How to Find the LCM of 7862 and 7867?
Answer:
Least Common Multiple of 7862 and 7867 = 61850354
Step 1: Find the prime factorization of 7862
7862 = 2 x 3931
Step 2: Find the prime factorization of 7867
7867 = 7867
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 61850354 = 2 x 3931 x 7867
Step 4: Therefore, the least common multiple of 7862 and 7867 is 61850354.