Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4001 and 4007 the smallest integer that is 16032007 that is divisible by both numbers.
Least Common Multiple (LCM) of 4001 and 4007 is 16032007.
LCM(4001,4007) = 16032007
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 4001 and 4007. First we will calculate the prime factors of 4001 and 4007.
Prime Factorization of 4001
4001 | 4001 |
1 |
Prime factors of 4001 are 4001. Prime factorization of 4001 in exponential form is:
4001 = 40011
Prime Factorization of 4007
4007 | 4007 |
1 |
Prime factors of 4007 are 4007. Prime factorization of 4007 in exponential form is:
4007 = 40071
Now multiplying the highest exponent prime factors to calculate the LCM of 4001 and 4007.
LCM(4001,4007) = 40011×40071
LCM(4001,4007) = 16032007
Factors of 4001
List of positive integer factors of 4001 that divides 4001 without a remainder.
1, 4001
Factors of 4007
List of positive integer factors of 4007 that divides 4007 without a remainder.
1, 4007
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4001 and 4007, than apply into the LCM equation.
GCF(4001,4007) = 1
LCM(4001,4007) = ( 4001 × 4007) / 1
LCM(4001,4007) = 16032007 / 1
LCM(4001,4007) = 16032007
(i) The LCM of 4007 and 4001 is associative
LCM of 4001 and 4007 = LCM of 4007 and 4001
1. What is the LCM of 4001 and 4007?
Answer: LCM of 4001 and 4007 is 16032007.
2. What are the Factors of 4001?
Answer: Factors of 4001 are 1, 4001. There are 2 integers that are factors of 4001. The greatest factor of 4001 is 4001.
3. What are the Factors of 4007?
Answer: Factors of 4007 are 1, 4007. There are 2 integers that are factors of 4007. The greatest factor of 4007 is 4007.
4. How to Find the LCM of 4001 and 4007?
Answer:
Least Common Multiple of 4001 and 4007 = 16032007
Step 1: Find the prime factorization of 4001
4001 = 4001
Step 2: Find the prime factorization of 4007
4007 = 4007
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 16032007 = 4001 x 4007
Step 4: Therefore, the least common multiple of 4001 and 4007 is 16032007.