Least Common Multiple of 30007 and 30014
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 30007 and 30014 the smallest integer that is 900630098 that is divisible by both numbers.
Least Common Multiple (LCM) of 30007 and 30014 is 900630098.
LCM(30007,30014) = 900630098
LCM of 30007 and 30014
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 30007 and 30014 by Prime method
- Least Common Multiple of 30007 and 30014 with GCF Formula
LCM of 30007 and 30014 is 900630098
Least common multiple can be found by multiplying the highest exponent prime factors of 30007 and 30014. First we will calculate the prime factors of 30007 and 30014.
Prime Factorization of 30007
| 37 | 30007 |
| 811 | 811 |
| 1 |
Prime factors of 30007 are 37,811. Prime factorization of 30007 in exponential form is:
30007 = 371×8111
Prime Factorization of 30014
| 2 | 30014 |
| 43 | 15007 |
| 349 | 349 |
| 1 |
Prime factors of 30014 are 2, 43,349. Prime factorization of 30014 in exponential form is:
30014 = 21×431×3491
Now multiplying the highest exponent prime factors to calculate the LCM of 30007 and 30014.
LCM(30007,30014) = 21×371×431×3491×8111
LCM(30007,30014) = 900630098
Factors of 30007
List of positive integer factors of 30007 that divides 30007 without a remainder.
1, 37, 811, 30007
Factors of 30014
List of positive integer factors of 30014 that divides 30014 without a remainder.
1, 2, 43, 86, 349, 698, 15007, 30014
Least Common Multiple of 30007 and 30014 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30007 and 30014, than apply into the LCM equation.
GCF(30007,30014) = 1
LCM(30007,30014) = ( 30007 × 30014) / 1
LCM(30007,30014) = 900630098 / 1
LCM(30007,30014) = 900630098
Properties of LCM 30007 and 30014
(i) The LCM of 30014 and 30007 is associative
LCM of 30007 and 30014 = LCM of 30014 and 30007
Related Least Common Multiples of 30007
Related Least Common Multiples of 30014
Frequently Asked Questions on LCM of 30007 and 30014
1. What is the LCM of 30007 and 30014?
Answer: LCM of 30007 and 30014 is 900630098.
2. What are the Factors of 30007?
Answer: Factors of 30007 are 1, 37, 811, 30007. There are 4 integers that are factors of 30007. The greatest factor of 30007 is 30007.
3. What are the Factors of 30014?
Answer: Factors of 30014 are 1, 2, 43, 86, 349, 698, 15007, 30014. There are 8 integers that are factors of 30014. The greatest factor of 30014 is 30014.
4. How to Find the LCM of 30007 and 30014?
Answer:
Least Common Multiple of 30007 and 30014 = 900630098
Step 1: Find the prime factorization of 30007
30007 = 37 x 811
Step 2: Find the prime factorization of 30014
30014 = 2 x 43 x 349
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 900630098 = 2 x 37 x 43 x 349 x 811
Step 4: Therefore, the least common multiple of 30007 and 30014 is 900630098.