Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4632 and 4636 the smallest integer that is 5368488 that is divisible by both numbers.
Least Common Multiple (LCM) of 4632 and 4636 is 5368488.
LCM(4632,4636) = 5368488
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 4632 and 4636. First we will calculate the prime factors of 4632 and 4636.
Prime Factorization of 4632
2 | 4632 |
2 | 2316 |
2 | 1158 |
3 | 579 |
193 | 193 |
1 |
Prime factors of 4632 are 2, 3,193. Prime factorization of 4632 in exponential form is:
4632 = 23×31×1931
Prime Factorization of 4636
2 | 4636 |
2 | 2318 |
19 | 1159 |
61 | 61 |
1 |
Prime factors of 4636 are 2, 19,61. Prime factorization of 4636 in exponential form is:
4636 = 22×191×611
Now multiplying the highest exponent prime factors to calculate the LCM of 4632 and 4636.
LCM(4632,4636) = 23×31×191×611×1931
LCM(4632,4636) = 5368488
Factors of 4632
List of positive integer factors of 4632 that divides 4632 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 193, 386, 579, 772, 1158, 1544, 2316, 4632
Factors of 4636
List of positive integer factors of 4636 that divides 4636 without a remainder.
1, 2, 4, 19, 38, 61, 76, 122, 244, 1159, 2318, 4636
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4632 and 4636, than apply into the LCM equation.
GCF(4632,4636) = 4
LCM(4632,4636) = ( 4632 × 4636) / 4
LCM(4632,4636) = 21473952 / 4
LCM(4632,4636) = 5368488
(i) The LCM of 4636 and 4632 is associative
LCM of 4632 and 4636 = LCM of 4636 and 4632
1. What is the LCM of 4632 and 4636?
Answer: LCM of 4632 and 4636 is 5368488.
2. What are the Factors of 4632?
Answer: Factors of 4632 are 1, 2, 3, 4, 6, 8, 12, 24, 193, 386, 579, 772, 1158, 1544, 2316, 4632. There are 16 integers that are factors of 4632. The greatest factor of 4632 is 4632.
3. What are the Factors of 4636?
Answer: Factors of 4636 are 1, 2, 4, 19, 38, 61, 76, 122, 244, 1159, 2318, 4636. There are 12 integers that are factors of 4636. The greatest factor of 4636 is 4636.
4. How to Find the LCM of 4632 and 4636?
Answer:
Least Common Multiple of 4632 and 4636 = 5368488
Step 1: Find the prime factorization of 4632
4632 = 2 x 2 x 2 x 3 x 193
Step 2: Find the prime factorization of 4636
4636 = 2 x 2 x 19 x 61
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 5368488 = 2 x 2 x 2 x 3 x 19 x 61 x 193
Step 4: Therefore, the least common multiple of 4632 and 4636 is 5368488.