Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7895 and 7901 the smallest integer that is 62378395 that is divisible by both numbers.
Least Common Multiple (LCM) of 7895 and 7901 is 62378395.
LCM(7895,7901) = 62378395
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 7895 and 7901. First we will calculate the prime factors of 7895 and 7901.
Prime Factorization of 7895
5 | 7895 |
1579 | 1579 |
1 |
Prime factors of 7895 are 5,1579. Prime factorization of 7895 in exponential form is:
7895 = 51×15791
Prime Factorization of 7901
7901 | 7901 |
1 |
Prime factors of 7901 are 7901. Prime factorization of 7901 in exponential form is:
7901 = 79011
Now multiplying the highest exponent prime factors to calculate the LCM of 7895 and 7901.
LCM(7895,7901) = 51×15791×79011
LCM(7895,7901) = 62378395
Factors of 7895
List of positive integer factors of 7895 that divides 7895 without a remainder.
1, 5, 1579, 7895
Factors of 7901
List of positive integer factors of 7901 that divides 7901 without a remainder.
1, 7901
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7895 and 7901, than apply into the LCM equation.
GCF(7895,7901) = 1
LCM(7895,7901) = ( 7895 × 7901) / 1
LCM(7895,7901) = 62378395 / 1
LCM(7895,7901) = 62378395
(i) The LCM of 7901 and 7895 is associative
LCM of 7895 and 7901 = LCM of 7901 and 7895
1. What is the LCM of 7895 and 7901?
Answer: LCM of 7895 and 7901 is 62378395.
2. What are the Factors of 7895?
Answer: Factors of 7895 are 1, 5, 1579, 7895. There are 4 integers that are factors of 7895. The greatest factor of 7895 is 7895.
3. What are the Factors of 7901?
Answer: Factors of 7901 are 1, 7901. There are 2 integers that are factors of 7901. The greatest factor of 7901 is 7901.
4. How to Find the LCM of 7895 and 7901?
Answer:
Least Common Multiple of 7895 and 7901 = 62378395
Step 1: Find the prime factorization of 7895
7895 = 5 x 1579
Step 2: Find the prime factorization of 7901
7901 = 7901
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 62378395 = 5 x 1579 x 7901
Step 4: Therefore, the least common multiple of 7895 and 7901 is 62378395.