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 4647 the smallest integer that is 21571374 that is divisible by both numbers.
Least Common Multiple (LCM) of 4642 and 4647 is 21571374.
LCM(4642,4647) = 21571374
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 4647. First we will calculate the prime factors of 4642 and 4647.
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 4647
3 | 4647 |
1549 | 1549 |
1 |
Prime factors of 4647 are 3,1549. Prime factorization of 4647 in exponential form is:
4647 = 31×15491
Now multiplying the highest exponent prime factors to calculate the LCM of 4642 and 4647.
LCM(4642,4647) = 21×31×111×2111×15491
LCM(4642,4647) = 21571374
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 4647
List of positive integer factors of 4647 that divides 4647 without a remainder.
1, 3, 1549, 4647
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4642 and 4647, than apply into the LCM equation.
GCF(4642,4647) = 1
LCM(4642,4647) = ( 4642 × 4647) / 1
LCM(4642,4647) = 21571374 / 1
LCM(4642,4647) = 21571374
(i) The LCM of 4647 and 4642 is associative
LCM of 4642 and 4647 = LCM of 4647 and 4642
1. What is the LCM of 4642 and 4647?
Answer: LCM of 4642 and 4647 is 21571374.
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 4647?
Answer: Factors of 4647 are 1, 3, 1549, 4647. There are 4 integers that are factors of 4647. The greatest factor of 4647 is 4647.
4. How to Find the LCM of 4642 and 4647?
Answer:
Least Common Multiple of 4642 and 4647 = 21571374
Step 1: Find the prime factorization of 4642
4642 = 2 x 11 x 211
Step 2: Find the prime factorization of 4647
4647 = 3 x 1549
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 21571374 = 2 x 3 x 11 x 211 x 1549
Step 4: Therefore, the least common multiple of 4642 and 4647 is 21571374.