Least Common Multiple of 40034 and 40039
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 40034 and 40039 the smallest integer that is 1602921326 that is divisible by both numbers.
Least Common Multiple (LCM) of 40034 and 40039 is 1602921326.
LCM(40034,40039) = 1602921326
LCM of 40034 and 40039
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 40034 and 40039 by Prime method
- Least Common Multiple of 40034 and 40039 with GCF Formula
LCM of 40034 and 40039 is 1602921326
Least common multiple can be found by multiplying the highest exponent prime factors of 40034 and 40039. First we will calculate the prime factors of 40034 and 40039.
Prime Factorization of 40034
| 2 | 40034 |
| 37 | 20017 |
| 541 | 541 |
| 1 |
Prime factors of 40034 are 2, 37,541. Prime factorization of 40034 in exponential form is:
40034 = 21×371×5411
Prime Factorization of 40039
| 40039 | 40039 |
| 1 |
Prime factors of 40039 are 40039. Prime factorization of 40039 in exponential form is:
40039 = 400391
Now multiplying the highest exponent prime factors to calculate the LCM of 40034 and 40039.
LCM(40034,40039) = 21×371×5411×400391
LCM(40034,40039) = 1602921326
Factors of 40034
List of positive integer factors of 40034 that divides 40034 without a remainder.
1, 2, 37, 74, 541, 1082, 20017, 40034
Factors of 40039
List of positive integer factors of 40039 that divides 40039 without a remainder.
1, 40039
Least Common Multiple of 40034 and 40039 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40034 and 40039, than apply into the LCM equation.
GCF(40034,40039) = 1
LCM(40034,40039) = ( 40034 × 40039) / 1
LCM(40034,40039) = 1602921326 / 1
LCM(40034,40039) = 1602921326
Properties of LCM 40034 and 40039
(i) The LCM of 40039 and 40034 is associative
LCM of 40034 and 40039 = LCM of 40039 and 40034
Related Least Common Multiples of 40034
Related Least Common Multiples of 40039
Frequently Asked Questions on LCM of 40034 and 40039
1. What is the LCM of 40034 and 40039?
Answer: LCM of 40034 and 40039 is 1602921326.
2. What are the Factors of 40034?
Answer: Factors of 40034 are 1, 2, 37, 74, 541, 1082, 20017, 40034. There are 8 integers that are factors of 40034. The greatest factor of 40034 is 40034.
3. What are the Factors of 40039?
Answer: Factors of 40039 are 1, 40039. There are 2 integers that are factors of 40039. The greatest factor of 40039 is 40039.
4. How to Find the LCM of 40034 and 40039?
Answer:
Least Common Multiple of 40034 and 40039 = 1602921326
Step 1: Find the prime factorization of 40034
40034 = 2 x 37 x 541
Step 2: Find the prime factorization of 40039
40039 = 40039
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1602921326 = 2 x 37 x 541 x 40039
Step 4: Therefore, the least common multiple of 40034 and 40039 is 1602921326.