Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4731 and 4736 the smallest integer that is 22406016 that is divisible by both numbers.
Least Common Multiple (LCM) of 4731 and 4736 is 22406016.
LCM(4731,4736) = 22406016
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 4731 and 4736. First we will calculate the prime factors of 4731 and 4736.
Prime Factorization of 4731
3 | 4731 |
19 | 1577 |
83 | 83 |
1 |
Prime factors of 4731 are 3, 19,83. Prime factorization of 4731 in exponential form is:
4731 = 31×191×831
Prime Factorization of 4736
2 | 4736 |
2 | 2368 |
2 | 1184 |
2 | 592 |
2 | 296 |
2 | 148 |
2 | 74 |
37 | 37 |
1 |
Prime factors of 4736 are 2,37. Prime factorization of 4736 in exponential form is:
4736 = 27×371
Now multiplying the highest exponent prime factors to calculate the LCM of 4731 and 4736.
LCM(4731,4736) = 27×31×191×371×831
LCM(4731,4736) = 22406016
Factors of 4731
List of positive integer factors of 4731 that divides 4731 without a remainder.
1, 3, 19, 57, 83, 249, 1577, 4731
Factors of 4736
List of positive integer factors of 4736 that divides 4736 without a remainder.
1, 2, 4, 8, 16, 32, 37, 64, 74, 128, 148, 296, 592, 1184, 2368, 4736
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4731 and 4736, than apply into the LCM equation.
GCF(4731,4736) = 1
LCM(4731,4736) = ( 4731 × 4736) / 1
LCM(4731,4736) = 22406016 / 1
LCM(4731,4736) = 22406016
(i) The LCM of 4736 and 4731 is associative
LCM of 4731 and 4736 = LCM of 4736 and 4731
1. What is the LCM of 4731 and 4736?
Answer: LCM of 4731 and 4736 is 22406016.
2. What are the Factors of 4731?
Answer: Factors of 4731 are 1, 3, 19, 57, 83, 249, 1577, 4731. There are 8 integers that are factors of 4731. The greatest factor of 4731 is 4731.
3. What are the Factors of 4736?
Answer: Factors of 4736 are 1, 2, 4, 8, 16, 32, 37, 64, 74, 128, 148, 296, 592, 1184, 2368, 4736. There are 16 integers that are factors of 4736. The greatest factor of 4736 is 4736.
4. How to Find the LCM of 4731 and 4736?
Answer:
Least Common Multiple of 4731 and 4736 = 22406016
Step 1: Find the prime factorization of 4731
4731 = 3 x 19 x 83
Step 2: Find the prime factorization of 4736
4736 = 2 x 2 x 2 x 2 x 2 x 2 x 2 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 = 22406016 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 19 x 37 x 83
Step 4: Therefore, the least common multiple of 4731 and 4736 is 22406016.