Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4840 and 4847 the smallest integer that is 23459480 that is divisible by both numbers.
Least Common Multiple (LCM) of 4840 and 4847 is 23459480.
LCM(4840,4847) = 23459480
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 4840 and 4847. First we will calculate the prime factors of 4840 and 4847.
Prime Factorization of 4840
2 | 4840 |
2 | 2420 |
2 | 1210 |
5 | 605 |
11 | 121 |
11 | 11 |
1 |
Prime factors of 4840 are 2, 5,11. Prime factorization of 4840 in exponential form is:
4840 = 23×51×112
Prime Factorization of 4847
37 | 4847 |
131 | 131 |
1 |
Prime factors of 4847 are 37,131. Prime factorization of 4847 in exponential form is:
4847 = 371×1311
Now multiplying the highest exponent prime factors to calculate the LCM of 4840 and 4847.
LCM(4840,4847) = 23×51×112×371×1311
LCM(4840,4847) = 23459480
Factors of 4840
List of positive integer factors of 4840 that divides 4840 without a remainder.
1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 121, 220, 242, 440, 484, 605, 968, 1210, 2420, 4840
Factors of 4847
List of positive integer factors of 4847 that divides 4847 without a remainder.
1, 37, 131, 4847
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4840 and 4847, than apply into the LCM equation.
GCF(4840,4847) = 1
LCM(4840,4847) = ( 4840 × 4847) / 1
LCM(4840,4847) = 23459480 / 1
LCM(4840,4847) = 23459480
(i) The LCM of 4847 and 4840 is associative
LCM of 4840 and 4847 = LCM of 4847 and 4840
1. What is the LCM of 4840 and 4847?
Answer: LCM of 4840 and 4847 is 23459480.
2. What are the Factors of 4840?
Answer: Factors of 4840 are 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 121, 220, 242, 440, 484, 605, 968, 1210, 2420, 4840. There are 24 integers that are factors of 4840. The greatest factor of 4840 is 4840.
3. What are the Factors of 4847?
Answer: Factors of 4847 are 1, 37, 131, 4847. There are 4 integers that are factors of 4847. The greatest factor of 4847 is 4847.
4. How to Find the LCM of 4840 and 4847?
Answer:
Least Common Multiple of 4840 and 4847 = 23459480
Step 1: Find the prime factorization of 4840
4840 = 2 x 2 x 2 x 5 x 11 x 11
Step 2: Find the prime factorization of 4847
4847 = 37 x 131
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 23459480 = 2 x 2 x 2 x 5 x 11 x 11 x 37 x 131
Step 4: Therefore, the least common multiple of 4840 and 4847 is 23459480.