Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4654 and 4662 the smallest integer that is 10848474 that is divisible by both numbers.
Least Common Multiple (LCM) of 4654 and 4662 is 10848474.
LCM(4654,4662) = 10848474
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 4654 and 4662. First we will calculate the prime factors of 4654 and 4662.
Prime Factorization of 4654
2 | 4654 |
13 | 2327 |
179 | 179 |
1 |
Prime factors of 4654 are 2, 13,179. Prime factorization of 4654 in exponential form is:
4654 = 21×131×1791
Prime Factorization of 4662
2 | 4662 |
3 | 2331 |
3 | 777 |
7 | 259 |
37 | 37 |
1 |
Prime factors of 4662 are 2, 3, 7,37. Prime factorization of 4662 in exponential form is:
4662 = 21×32×71×371
Now multiplying the highest exponent prime factors to calculate the LCM of 4654 and 4662.
LCM(4654,4662) = 21×32×71×131×371×1791
LCM(4654,4662) = 10848474
Factors of 4654
List of positive integer factors of 4654 that divides 4654 without a remainder.
1, 2, 13, 26, 179, 358, 2327, 4654
Factors of 4662
List of positive integer factors of 4662 that divides 4662 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 37, 42, 63, 74, 111, 126, 222, 259, 333, 518, 666, 777, 1554, 2331, 4662
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4654 and 4662, than apply into the LCM equation.
GCF(4654,4662) = 2
LCM(4654,4662) = ( 4654 × 4662) / 2
LCM(4654,4662) = 21696948 / 2
LCM(4654,4662) = 10848474
(i) The LCM of 4662 and 4654 is associative
LCM of 4654 and 4662 = LCM of 4662 and 4654
1. What is the LCM of 4654 and 4662?
Answer: LCM of 4654 and 4662 is 10848474.
2. What are the Factors of 4654?
Answer: Factors of 4654 are 1, 2, 13, 26, 179, 358, 2327, 4654. There are 8 integers that are factors of 4654. The greatest factor of 4654 is 4654.
3. What are the Factors of 4662?
Answer: Factors of 4662 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 37, 42, 63, 74, 111, 126, 222, 259, 333, 518, 666, 777, 1554, 2331, 4662. There are 24 integers that are factors of 4662. The greatest factor of 4662 is 4662.
4. How to Find the LCM of 4654 and 4662?
Answer:
Least Common Multiple of 4654 and 4662 = 10848474
Step 1: Find the prime factorization of 4654
4654 = 2 x 13 x 179
Step 2: Find the prime factorization of 4662
4662 = 2 x 3 x 3 x 7 x 37
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 10848474 = 2 x 3 x 3 x 7 x 13 x 37 x 179
Step 4: Therefore, the least common multiple of 4654 and 4662 is 10848474.