Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4642 and 4649 the smallest integer that is 21580658 that is divisible by both numbers.
Least Common Multiple (LCM) of 4642 and 4649 is 21580658.
LCM(4642,4649) = 21580658
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 4642 and 4649. First we will calculate the prime factors of 4642 and 4649.
Prime Factorization of 4642
2 | 4642 |
11 | 2321 |
211 | 211 |
1 |
Prime factors of 4642 are 2, 11,211. Prime factorization of 4642 in exponential form is:
4642 = 21×111×2111
Prime Factorization of 4649
4649 | 4649 |
1 |
Prime factors of 4649 are 4649. Prime factorization of 4649 in exponential form is:
4649 = 46491
Now multiplying the highest exponent prime factors to calculate the LCM of 4642 and 4649.
LCM(4642,4649) = 21×111×2111×46491
LCM(4642,4649) = 21580658
Factors of 4642
List of positive integer factors of 4642 that divides 4642 without a remainder.
1, 2, 11, 22, 211, 422, 2321, 4642
Factors of 4649
List of positive integer factors of 4649 that divides 4649 without a remainder.
1, 4649
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4642 and 4649, than apply into the LCM equation.
GCF(4642,4649) = 1
LCM(4642,4649) = ( 4642 × 4649) / 1
LCM(4642,4649) = 21580658 / 1
LCM(4642,4649) = 21580658
(i) The LCM of 4649 and 4642 is associative
LCM of 4642 and 4649 = LCM of 4649 and 4642
1. What is the LCM of 4642 and 4649?
Answer: LCM of 4642 and 4649 is 21580658.
2. What are the Factors of 4642?
Answer: Factors of 4642 are 1, 2, 11, 22, 211, 422, 2321, 4642. There are 8 integers that are factors of 4642. The greatest factor of 4642 is 4642.
3. What are the Factors of 4649?
Answer: Factors of 4649 are 1, 4649. There are 2 integers that are factors of 4649. The greatest factor of 4649 is 4649.
4. How to Find the LCM of 4642 and 4649?
Answer:
Least Common Multiple of 4642 and 4649 = 21580658
Step 1: Find the prime factorization of 4642
4642 = 2 x 11 x 211
Step 2: Find the prime factorization of 4649
4649 = 4649
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 21580658 = 2 x 11 x 211 x 4649
Step 4: Therefore, the least common multiple of 4642 and 4649 is 21580658.