Least Common Multiple of 316413 and 316414
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 316413 and 316414 the smallest integer that is 100117502982 that is divisible by both numbers.
Least Common Multiple (LCM) of 316413 and 316414 is 100117502982.
LCM(316413,316414) = 100117502982
LCM of 316413 and 316414
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 316413 and 316414 by Prime method
- Least Common Multiple of 316413 and 316414 with GCF Formula
LCM of 316413 and 316414 is 100117502982
Least common multiple can be found by multiplying the highest exponent prime factors of 316413 and 316414. First we will calculate the prime factors of 316413 and 316414.
Prime Factorization of 316413
| 3 | 316413 |
| 3 | 105471 |
| 3 | 35157 |
| 11719 | 11719 |
| 1 |
Prime factors of 316413 are 3,11719. Prime factorization of 316413 in exponential form is:
316413 = 33×117191
Prime Factorization of 316414
| 2 | 316414 |
| 7 | 158207 |
| 97 | 22601 |
| 233 | 233 |
| 1 |
Prime factors of 316414 are 2, 7, 97,233. Prime factorization of 316414 in exponential form is:
316414 = 21×71×971×2331
Now multiplying the highest exponent prime factors to calculate the LCM of 316413 and 316414.
LCM(316413,316414) = 21×33×71×971×2331×117191
LCM(316413,316414) = 100117502982
Factors of 316413
List of positive integer factors of 316413 that divides 316413 without a remainder.
1, 3, 9, 27, 11719, 35157, 105471, 316413
Factors of 316414
List of positive integer factors of 316414 that divides 316414 without a remainder.
1, 2, 7, 14, 97, 194, 233, 466, 679, 1358, 1631, 3262, 22601, 45202, 158207, 316414
Least Common Multiple of 316413 and 316414 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 316413 and 316414, than apply into the LCM equation.
GCF(316413,316414) = 1
LCM(316413,316414) = ( 316413 × 316414) / 1
LCM(316413,316414) = 100117502982 / 1
LCM(316413,316414) = 100117502982
Properties of LCM 316413 and 316414
(i) The LCM of 316414 and 316413 is associative
LCM of 316413 and 316414 = LCM of 316414 and 316413
Related Least Common Multiples of 316413
Related Least Common Multiples of 316414
Frequently Asked Questions on LCM of 316413 and 316414
1. What is the LCM of 316413 and 316414?
Answer: LCM of 316413 and 316414 is 100117502982.
2. What are the Factors of 316413?
Answer: Factors of 316413 are 1, 3, 9, 27, 11719, 35157, 105471, 316413. There are 8 integers that are factors of 316413. The greatest factor of 316413 is 316413.
3. What are the Factors of 316414?
Answer: Factors of 316414 are 1, 2, 7, 14, 97, 194, 233, 466, 679, 1358, 1631, 3262, 22601, 45202, 158207, 316414. There are 16 integers that are factors of 316414. The greatest factor of 316414 is 316414.
4. How to Find the LCM of 316413 and 316414?
Answer:
Least Common Multiple of 316413 and 316414 = 100117502982
Step 1: Find the prime factorization of 316413
316413 = 3 x 3 x 3 x 11719
Step 2: Find the prime factorization of 316414
316414 = 2 x 7 x 97 x 233
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 100117502982 = 2 x 3 x 3 x 3 x 7 x 97 x 233 x 11719
Step 4: Therefore, the least common multiple of 316413 and 316414 is 100117502982.