Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7901 and 7907 the smallest integer that is 62473207 that is divisible by both numbers.
Least Common Multiple (LCM) of 7901 and 7907 is 62473207.
LCM(7901,7907) = 62473207
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 7901 and 7907. First we will calculate the prime factors of 7901 and 7907.
Prime Factorization of 7901
7901 | 7901 |
1 |
Prime factors of 7901 are 7901. Prime factorization of 7901 in exponential form is:
7901 = 79011
Prime Factorization of 7907
7907 | 7907 |
1 |
Prime factors of 7907 are 7907. Prime factorization of 7907 in exponential form is:
7907 = 79071
Now multiplying the highest exponent prime factors to calculate the LCM of 7901 and 7907.
LCM(7901,7907) = 79011×79071
LCM(7901,7907) = 62473207
Factors of 7901
List of positive integer factors of 7901 that divides 7901 without a remainder.
1, 7901
Factors of 7907
List of positive integer factors of 7907 that divides 7907 without a remainder.
1, 7907
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7901 and 7907, than apply into the LCM equation.
GCF(7901,7907) = 1
LCM(7901,7907) = ( 7901 × 7907) / 1
LCM(7901,7907) = 62473207 / 1
LCM(7901,7907) = 62473207
(i) The LCM of 7907 and 7901 is associative
LCM of 7901 and 7907 = LCM of 7907 and 7901
1. What is the LCM of 7901 and 7907?
Answer: LCM of 7901 and 7907 is 62473207.
2. 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.
3. What are the Factors of 7907?
Answer: Factors of 7907 are 1, 7907. There are 2 integers that are factors of 7907. The greatest factor of 7907 is 7907.
4. How to Find the LCM of 7901 and 7907?
Answer:
Least Common Multiple of 7901 and 7907 = 62473207
Step 1: Find the prime factorization of 7901
7901 = 7901
Step 2: Find the prime factorization of 7907
7907 = 7907
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 62473207 = 7901 x 7907
Step 4: Therefore, the least common multiple of 7901 and 7907 is 62473207.