Least Common Multiple of 39218 and 39223
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 39218 and 39223 the smallest integer that is 1538247614 that is divisible by both numbers.
Least Common Multiple (LCM) of 39218 and 39223 is 1538247614.
LCM(39218,39223) = 1538247614
LCM of 39218 and 39223
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 39218 and 39223 by Prime method
- Least Common Multiple of 39218 and 39223 with GCF Formula
LCM of 39218 and 39223 is 1538247614
Least common multiple can be found by multiplying the highest exponent prime factors of 39218 and 39223. First we will calculate the prime factors of 39218 and 39223.
Prime Factorization of 39218
| 2 | 39218 |
| 19609 | 19609 |
| 1 |
Prime factors of 39218 are 2,19609. Prime factorization of 39218 in exponential form is:
39218 = 21×196091
Prime Factorization of 39223
| 61 | 39223 |
| 643 | 643 |
| 1 |
Prime factors of 39223 are 61,643. Prime factorization of 39223 in exponential form is:
39223 = 611×6431
Now multiplying the highest exponent prime factors to calculate the LCM of 39218 and 39223.
LCM(39218,39223) = 21×611×6431×196091
LCM(39218,39223) = 1538247614
Factors of 39218
List of positive integer factors of 39218 that divides 39218 without a remainder.
1, 2, 19609, 39218
Factors of 39223
List of positive integer factors of 39223 that divides 39223 without a remainder.
1, 61, 643, 39223
Least Common Multiple of 39218 and 39223 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39218 and 39223, than apply into the LCM equation.
GCF(39218,39223) = 1
LCM(39218,39223) = ( 39218 × 39223) / 1
LCM(39218,39223) = 1538247614 / 1
LCM(39218,39223) = 1538247614
Properties of LCM 39218 and 39223
(i) The LCM of 39223 and 39218 is associative
LCM of 39218 and 39223 = LCM of 39223 and 39218
Related Least Common Multiples of 39218
Related Least Common Multiples of 39223
Frequently Asked Questions on LCM of 39218 and 39223
1. What is the LCM of 39218 and 39223?
Answer: LCM of 39218 and 39223 is 1538247614.
2. What are the Factors of 39218?
Answer: Factors of 39218 are 1, 2, 19609, 39218. There are 4 integers that are factors of 39218. The greatest factor of 39218 is 39218.
3. What are the Factors of 39223?
Answer: Factors of 39223 are 1, 61, 643, 39223. There are 4 integers that are factors of 39223. The greatest factor of 39223 is 39223.
4. How to Find the LCM of 39218 and 39223?
Answer:
Least Common Multiple of 39218 and 39223 = 1538247614
Step 1: Find the prime factorization of 39218
39218 = 2 x 19609
Step 2: Find the prime factorization of 39223
39223 = 61 x 643
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1538247614 = 2 x 61 x 643 x 19609
Step 4: Therefore, the least common multiple of 39218 and 39223 is 1538247614.