Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4658 and 4665 the smallest integer that is 21729570 that is divisible by both numbers.
Least Common Multiple (LCM) of 4658 and 4665 is 21729570.
LCM(4658,4665) = 21729570
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 4658 and 4665. First we will calculate the prime factors of 4658 and 4665.
Prime Factorization of 4658
2 | 4658 |
17 | 2329 |
137 | 137 |
1 |
Prime factors of 4658 are 2, 17,137. Prime factorization of 4658 in exponential form is:
4658 = 21×171×1371
Prime Factorization of 4665
3 | 4665 |
5 | 1555 |
311 | 311 |
1 |
Prime factors of 4665 are 3, 5,311. Prime factorization of 4665 in exponential form is:
4665 = 31×51×3111
Now multiplying the highest exponent prime factors to calculate the LCM of 4658 and 4665.
LCM(4658,4665) = 21×31×51×171×1371×3111
LCM(4658,4665) = 21729570
Factors of 4658
List of positive integer factors of 4658 that divides 4658 without a remainder.
1, 2, 17, 34, 137, 274, 2329, 4658
Factors of 4665
List of positive integer factors of 4665 that divides 4665 without a remainder.
1, 3, 5, 15, 311, 933, 1555, 4665
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4658 and 4665, than apply into the LCM equation.
GCF(4658,4665) = 1
LCM(4658,4665) = ( 4658 × 4665) / 1
LCM(4658,4665) = 21729570 / 1
LCM(4658,4665) = 21729570
(i) The LCM of 4665 and 4658 is associative
LCM of 4658 and 4665 = LCM of 4665 and 4658
1. What is the LCM of 4658 and 4665?
Answer: LCM of 4658 and 4665 is 21729570.
2. What are the Factors of 4658?
Answer: Factors of 4658 are 1, 2, 17, 34, 137, 274, 2329, 4658. There are 8 integers that are factors of 4658. The greatest factor of 4658 is 4658.
3. What are the Factors of 4665?
Answer: Factors of 4665 are 1, 3, 5, 15, 311, 933, 1555, 4665. There are 8 integers that are factors of 4665. The greatest factor of 4665 is 4665.
4. How to Find the LCM of 4658 and 4665?
Answer:
Least Common Multiple of 4658 and 4665 = 21729570
Step 1: Find the prime factorization of 4658
4658 = 2 x 17 x 137
Step 2: Find the prime factorization of 4665
4665 = 3 x 5 x 311
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 21729570 = 2 x 3 x 5 x 17 x 137 x 311
Step 4: Therefore, the least common multiple of 4658 and 4665 is 21729570.